supplemental worksheet problems to accompany
TRANSCRIPT
© 2009 Jason Gibson / MathTutorDVD.com The 1st – 7th Grade Math Tutor Section 12 – Adding and Subtracting Fractions
Supplemental Worksheet Problems To Accompany:
The 1st – 7th Grade Math Tutor
Section 12 – Adding and Subtracting Fractions
Please watch Section 12 of this DVD before working these problems.
The DVD is located at:
http://www.mathtutordvd.com/products/item7.cfm
Sample Videos For this DVD Are Located Here: http://www.mathtutordvd.com/public/department50.cfm
Page 1
© 2009 Jason Gibson / MathTutorDVD.com The 1st – 7th Grade Math Tutor Section 12 – Adding and Subtracting Fractions
1) Perform the fraction addition or subtraction below:
14+
14
2) Perform the fraction addition or subtraction below:
17+
27
Page 2
© 2009 Jason Gibson / MathTutorDVD.com The 1st – 7th Grade Math Tutor Section 12 – Adding and Subtracting Fractions
3) Perform the fraction addition or subtraction below:
15+
45
4) Perform the fraction addition or subtraction below:
36+
36
Page 3
© 2009 Jason Gibson / MathTutorDVD.com The 1st – 7th Grade Math Tutor Section 12 – Adding and Subtracting Fractions
5) Perform the fraction addition or subtraction below:
26+
16
6) Perform the fraction addition or subtraction below:
38−
18
Page 4
© 2009 Jason Gibson / MathTutorDVD.com The 1st – 7th Grade Math Tutor Section 12 – Adding and Subtracting Fractions
7) Perform the fraction addition or subtraction below:
910
−4
10
8) Perform the fraction addition or subtraction below:
712
−1
12
Page 5
© 2009 Jason Gibson / MathTutorDVD.com The 1st – 7th Grade Math Tutor Section 12 – Adding and Subtracting Fractions
9) Perform the fraction addition or subtraction below:
59−
39
10) Perform the fraction addition or subtraction below:
25−
25
Page 6
© 2009 Jason Gibson / MathTutorDVD.com The 1st – 7th Grade Math Tutor Section 12 – Adding and Subtracting Fractions
11) Perform the fraction addition or subtraction below:
215
+8
15
12) Perform the fraction addition or subtraction below:
616
−4
16
Page 7
© 2009 Jason Gibson / MathTutorDVD.com The 1st – 7th Grade Math Tutor Section 12 – Adding and Subtracting Fractions
13) Perform the fraction addition or subtraction below:
318
+6
18
14) Perform the fraction addition or subtraction below:
1022
+822
Page 8
© 2009 Jason Gibson / MathTutorDVD.com The 1st – 7th Grade Math Tutor Section 12 – Adding and Subtracting Fractions
15) Perform the fraction addition or subtraction below:
1345
+245
16) Perform the fraction addition or subtraction below:
2630
−630
Page 9
© 2009 Jason Gibson / MathTutorDVD.com The 1st – 7th Grade Math Tutor Section 12 – Adding and Subtracting Fractions
17) Perform the fraction addition or subtraction below:
3760
−1
60
18) Perform the fraction addition or subtraction below:
3964
−764
Page 10
© 2009 Jason Gibson / MathTutorDVD.com The 1st – 7th Grade Math Tutor Section 12 – Adding and Subtracting Fractions
19) Perform the fraction addition or subtraction below:
3850
+2
50
20) Perform the fraction addition or subtraction below:
5972
−5
72
Page 11
© 2009 Jason Gibson / MathTutorDVD.com The 1st – 7th Grade Math Tutor Section 12 – Adding and Subtracting Fractions
Question
Answer
1) Perform the fraction addition or subtraction below:
14+
14
Begin.
14+
14
In order to add or subtract fractions, the denominators of the fractions (bottom numbers) MUST be the same. Check to ensure that the denominators are equal (see blue at left). The denominators are equal, so we are allowed to add or subtract these fractions in the next step.
41+1
To add or subtract the fractions, you keep the same denominator. You only add or subtract the numerators (top numbers, red at left)
42
Perform the addition or subtraction for the numbers in the numerator. Keep the denominator the same as the original problem.
24÷ 2÷ 2
Always check to see if the fraction you obtained is fully simplified. In this case we can simplify further by dividing the numerator and denominator by the same number, as shown at left.
12
Perform the simplification of the fraction.
Ans: 12
Page 12
© 2009 Jason Gibson / MathTutorDVD.com The 1st – 7th Grade Math Tutor Section 12 – Adding and Subtracting Fractions
Question
Answer
2) Perform the fraction addition or subtraction below:
17+
27
Begin.
17+
27
In order to add or subtract fractions, the denominators of the fractions (bottom numbers) MUST be the same. Check to ensure that the denominators are equal (see blue at left). The denominators are equal, so we are allowed to add or subtract these fractions in the next step.
71+ 2
To add or subtract the fractions, you keep the same denominator. You only add or subtract the numerators (top numbers, red at left)
73
Perform the addition or subtraction for the numbers in the numerator. Keep the denominator the same as the original problem.
73
Always check to see if the fraction you obtained is fully simplified. In this case the fraction is already fully simplified, so we have our answer.
Ans: 37
Page 13
© 2009 Jason Gibson / MathTutorDVD.com The 1st – 7th Grade Math Tutor Section 12 – Adding and Subtracting Fractions
Question
Answer
3) Perform the fraction addition or subtraction below:
15+
45
Begin.
15+
45
In order to add or subtract fractions, the denominators of the fractions (bottom numbers) MUST be the same. Check to ensure that the denominators are equal (see blue at left). The denominators are equal, so we are allowed to add or subtract these fractions in the next step.
51+ 4
To add or subtract the fractions, you keep the same denominator. You only add or subtract the numerators (top numbers, red at left)
55
Perform the addition or subtraction for the numbers in the numerator. Keep the denominator the same as the original problem.
55
Always check to see if the fraction you obtained is fully simplified. In this case we notice that we have the same top and bottom number. Since a fraction is nothing more than division, we divide the top by the bottom number in the next step.
55= 1
Perform the division.
Ans: 1
Page 14
© 2009 Jason Gibson / MathTutorDVD.com The 1st – 7th Grade Math Tutor Section 12 – Adding and Subtracting Fractions
Question
Answer
4) Perform the fraction addition or subtraction below:
36+
36
Begin.
36+
36
In order to add or subtract fractions, the denominators of the fractions (bottom numbers) MUST be the same. Check to ensure that the denominators are equal (see blue at left). The denominators are equal, so we are allowed to add or subtract these fractions in the next step.
63+ 3
To add or subtract the fractions, you keep the same denominator. You only add or subtract the numerators (top numbers, red at left)
66
Perform the addition or subtraction for the numbers in the numerator. Keep the denominator the same as the original problem.
66
Always check to see if the fraction you obtained is fully simplified. In this case we notice that we have the same top and bottom number. Since a fraction is nothing more than division, we divide the top by the bottom number in the next step.
66= 1
Perform the division.
Ans: 1
Page 15
© 2009 Jason Gibson / MathTutorDVD.com The 1st – 7th Grade Math Tutor Section 12 – Adding and Subtracting Fractions
Question
Answer
5) Perform the fraction addition or subtraction below:
26+
16
Begin.
26+
16
In order to add or subtract fractions, the denominators of the fractions (bottom numbers) MUST be the same. Check to ensure that the denominators are equal (see blue at left). The denominators are equal, so we are allowed to add or subtract these fractions in the next step.
62 +1
To add or subtract the fractions, you keep the same denominator. You only add or subtract the numerators (top numbers, red at left)
63
Perform the addition or subtraction for the numbers in the numerator. Keep the denominator the same as the original problem.
36÷ 3÷ 3
Always check to see if the fraction you obtained is fully simplified. In this case we can simplify further by dividing the numerator and denominator by the same number, as shown at left.
12
Perform the division in order to simplify.
Ans: 12
Page 16
© 2009 Jason Gibson / MathTutorDVD.com The 1st – 7th Grade Math Tutor Section 12 – Adding and Subtracting Fractions
Question
Answer
6) Perform the fraction addition or subtraction below:
38−
18
Begin.
38−
18
In order to add or subtract fractions, the denominators of the fractions (bottom numbers) MUST be the same. Check to ensure that the denominators are equal (see blue at left). The denominators are equal, so we are allowed to add or subtract these fractions in the next step.
83−1
To add or subtract the fractions, you keep the same denominator. You only add or subtract the numerators (top numbers, red at left)
82
Perform the addition or subtraction for the numbers in the numerator. Keep the denominator the same as the original problem.
28÷ 2÷ 2
Always check to see if the fraction you obtained is fully simplified. In this case we can simplify further by dividing the numerator and denominator by the same number, as shown at left.
14
Perform the division in order to simplify.
Ans: 14
Page 17
© 2009 Jason Gibson / MathTutorDVD.com The 1st – 7th Grade Math Tutor Section 12 – Adding and Subtracting Fractions
Question
Answer
7) Perform the fraction addition or subtraction below:
9
10−
410
Begin.
9
10−
410
In order to add or subtract fractions, the denominators of the fractions (bottom numbers) MUST be the same. Check to ensure that the denominators are equal (see blue at left). The denominators are equal, so we are allowed to add or subtract these fractions in the next step.
109 − 4
To add or subtract the fractions, you keep the same denominator. You only add or subtract the numerators (top numbers, red at left)
105
Perform the addition or subtraction for the numbers in the numerator. Keep the denominator the same as the original problem.
5
10÷ 5÷ 5
Always check to see if the fraction you obtained is fully simplified. In this case we can simplify further by dividing the numerator and denominator by the same number, as shown at left.
12
Perform the division in order to simplify.
Ans: 12
Page 18
© 2009 Jason Gibson / MathTutorDVD.com The 1st – 7th Grade Math Tutor Section 12 – Adding and Subtracting Fractions
Question
Answer
8) Perform the fraction addition or subtraction below:
7
12−
112
Begin.
7
12−
112
In order to add or subtract fractions, the denominators of the fractions (bottom numbers) MUST be the same. Check to ensure that the denominators are equal (see blue at left). The denominators are equal, so we are allowed to add or subtract these fractions in the next step.
127 −1
To add or subtract the fractions, you keep the same denominator. You only add or subtract the numerators (top numbers, red at left)
126
Perform the addition or subtraction for the numbers in the numerator. Keep the denominator the same as the original problem.
6
12÷ 6÷ 6
Always check to see if the fraction you obtained is fully simplified. In this case we can simplify further by dividing the numerator and denominator by the same number, as shown at left.
12
Perform the division in order to simplify.
Ans: 12
Page 19
© 2009 Jason Gibson / MathTutorDVD.com The 1st – 7th Grade Math Tutor Section 12 – Adding and Subtracting Fractions
Question
Answer
9) Perform the fraction addition or subtraction below:
59−
39
Begin.
59−
39
In order to add or subtract fractions, the denominators of the fractions (bottom numbers) MUST be the same. Check to ensure that the denominators are equal (see blue at left). The denominators are equal, so we are allowed to add or subtract these fractions in the next step.
95− 3
To add or subtract the fractions, you keep the same denominator. You only add or subtract the numerators (top numbers, red at left)
92
Perform the addition or subtraction for the numbers in the numerator. Keep the denominator the same as the original problem.
29
Always check to see if the fraction you obtained is fully simplified. In this case the fraction is already fully simplified, so we have answer.
Ans: 29
Page 20
© 2009 Jason Gibson / MathTutorDVD.com The 1st – 7th Grade Math Tutor Section 12 – Adding and Subtracting Fractions
Question
Answer
10) Perform the fraction addition or subtraction below:
25−
25
Begin.
25−
25
In order to add or subtract fractions, the denominators of the fractions (bottom numbers) MUST be the same. Check to ensure that the denominators are equal (see blue at left). The denominators are equal, so we are allowed to add or subtract these fractions in the next step.
52 − 2
To add or subtract the fractions, you keep the same denominator. You only add or subtract the numerators (top numbers, red at left)
50
Perform the addition or subtraction for the numbers in the numerator. Keep the denominator the same as the original problem.
50= 0
Always check to see if the fraction you obtained is fully simplified. In this case we remember that a fraction is nothing more than division, so we note that in this fraction we are really performing “zero divided by 5”. Zero divided by anything is just zero. If you have nothing to begin with (zero), any division you do will always be zero.
Ans: 0
Page 21
© 2009 Jason Gibson / MathTutorDVD.com The 1st – 7th Grade Math Tutor Section 12 – Adding and Subtracting Fractions
Question
Answer
11) Perform the fraction addition or subtraction below:
2
15+
815
Begin.
2
15+
815
In order to add or subtract fractions, the denominators of the fractions (bottom numbers) MUST be the same. Check to ensure that the denominators are equal (see blue at left). The denominators are equal, so we are allowed to add or subtract these fractions in the next step.
152 + 8
To add or subtract the fractions, you keep the same denominator. You only add or subtract the numerators (top numbers, red at left)
1510
Perform the addition or subtraction for the numbers in the numerator. Keep the denominator the same as the original problem.
1015
÷ 5÷ 5
Always check to see if the fraction you obtained is fully simplified. In this case we can simplify the fraction by dividing the numerator and denominator by the same number as shown at left.
23
Perform the division to simplify the fraction.
Ans: 23
Page 22
© 2009 Jason Gibson / MathTutorDVD.com The 1st – 7th Grade Math Tutor Section 12 – Adding and Subtracting Fractions
Question
Answer
12) Perform the fraction addition or subtraction below:
6
16−
416
Begin.
6
16−
416
In order to add or subtract fractions, the denominators of the fractions (bottom numbers) MUST be the same. Check to ensure that the denominators are equal (see blue at left). The denominators are equal, so we are allowed to add or subtract these fractions in the next step.
166 − 4
To add or subtract the fractions, you keep the same denominator. You only add or subtract the numerators (top numbers, red at left)
162
Perform the addition or subtraction for the numbers in the numerator. Keep the denominator the same as the original problem.
2
16÷ 2÷ 2
Always check to see if the fraction you obtained is fully simplified. In this case we can simplify the fraction by dividing the numerator and denominator by the same number as shown at left.
18
Perform the division to simplify the fraction.
Ans: 18
Page 23
© 2009 Jason Gibson / MathTutorDVD.com The 1st – 7th Grade Math Tutor Section 12 – Adding and Subtracting Fractions
Question
Answer
13) Perform the fraction addition or subtraction below:
3
18+
618
Begin.
3
18+
618
In order to add or subtract fractions, the denominators of the fractions (bottom numbers) MUST be the same. Check to ensure that the denominators are equal (see blue at left). The denominators are equal, so we are allowed to add or subtract these fractions in the next step.
183+ 6
To add or subtract the fractions, you keep the same denominator. You only add or subtract the numerators (top numbers, red at left)
189
Perform the addition or subtraction for the numbers in the numerator. Keep the denominator the same as the original problem.
9
18÷ 9÷ 9
Always check to see if the fraction you obtained is fully simplified. In this case we can simplify the fraction by dividing the numerator and denominator by the same number as shown at left.
12
Perform the division to simplify the fraction.
Ans: 12
Page 24
© 2009 Jason Gibson / MathTutorDVD.com The 1st – 7th Grade Math Tutor Section 12 – Adding and Subtracting Fractions
Question
Answer
14) Perform the fraction addition or subtraction below:
1022
+822
Begin.
1022
+822
In order to add or subtract fractions, the denominators of the fractions (bottom numbers) MUST be the same. Check to ensure that the denominators are equal (see blue at left). The denominators are equal, so we are allowed to add or subtract these fractions in the next step.
2210 + 8
To add or subtract the fractions, you keep the same denominator. You only add or subtract the numerators (top numbers, red at left)
2218
Perform the addition or subtraction for the numbers in the numerator. Keep the denominator the same as the original problem.
1822
÷ 2÷ 2
Always check to see if the fraction you obtained is fully simplified. In this case we can simplify the fraction by dividing the numerator and denominator by the same number as shown at left.
911
Perform the division to simplify the fraction.
Ans: 911
Page 25
© 2009 Jason Gibson / MathTutorDVD.com The 1st – 7th Grade Math Tutor Section 12 – Adding and Subtracting Fractions
Question
Answer
15) Perform the fraction addition or subtraction below:
1345
+245
Begin.
1345
+245
In order to add or subtract fractions, the denominators of the fractions (bottom numbers) MUST be the same. Check to ensure that the denominators are equal (see blue at left). The denominators are equal, so we are allowed to add or subtract these fractions in the next step.
4513+ 2
To add or subtract the fractions, you keep the same denominator. You only add or subtract the numerators (top numbers, red at left)
4515
Add or subtract in the numerator and keep the same denominator.
÷ 5
45÷ 515
=39
Is the fraction that we obtained fully simplified? Simplify the fraction by dividing the numerator and denominator by the same number as shown at left.
39÷ 3÷ 3
=13
Always ensure that the final fraction that you calculate is fully simplified. We can further simplify this fraction again to arrive at the answer.
Ans: 13
Page 26
© 2009 Jason Gibson / MathTutorDVD.com The 1st – 7th Grade Math Tutor Section 12 – Adding and Subtracting Fractions
Question
Answer
16) Perform the fraction addition or subtraction below:
2630
−630
Begin.
2630
−630
In order to add or subtract fractions, the denominators of the fractions (bottom numbers) MUST be the same. Check to ensure that the denominators are equal (see blue at left). The denominators are equal, so we are allowed to add or subtract these fractions in the next step.
3026 − 6
To add or subtract the fractions, you keep the same denominator. You only add or subtract the numerators (top numbers, red at left)
3020
Add or subtract in the numerator and keep the same denominator.
2030
÷ 5÷ 5
=46
Is the fraction that we obtained fully simplified? Simplify the fraction by dividing the numerator and denominator by the same number as shown at left.
46÷ 2÷ 2
=23
Always ensure that the final fraction that you calculate is fully simplified. We can further simplify this fraction again to arrive at the answer.
Ans: 23
Page 27
© 2009 Jason Gibson / MathTutorDVD.com The 1st – 7th Grade Math Tutor Section 12 – Adding and Subtracting Fractions
Question
Answer
17) Perform the fraction addition or subtraction below:
3760
−1
60
Begin.
3760
−1
60
In order to add or subtract fractions, the denominators of the fractions (bottom numbers) MUST be the same. Check to ensure that the denominators are equal (see blue at left). The denominators are equal, so we are allowed to add or subtract these fractions in the next step.
6037 −1
To add or subtract the fractions, you keep the same denominator. You only add or subtract the numerators (top numbers, red at left)
6036
Add or subtract in the numerator and keep the same denominator.
3660
÷ 6÷ 6
=6
10
Is the fraction that we obtained fully simplified? Simplify the fraction by dividing the numerator and denominator by the same number as shown at left.
6
10÷ 2÷ 2
=35
Always ensure that the final fraction that you calculate is fully simplified. We can further simplify this fraction again to arrive at the answer.
Ans: 35
Page 28
© 2009 Jason Gibson / MathTutorDVD.com The 1st – 7th Grade Math Tutor Section 12 – Adding and Subtracting Fractions
Question
Answer
18) Perform the fraction addition or subtraction below:
3964
−764
Begin.
3964
−764
In order to add or subtract fractions, the denominators of the fractions (bottom numbers) MUST be the same. Check to ensure that the denominators are equal (see blue at left). The denominators are equal, so we are allowed to add or subtract these fractions in the next step.
6439 − 7
To add or subtract the fractions, you keep the same denominator. You only add or subtract the numerators (top numbers, red at left)
6432
Add or subtract in the numerator and keep the same denominator.
3264
÷ 8÷ 8
=48
Is the fraction that we obtained fully simplified? Simplify the fraction by dividing the numerator and denominator by the same number as shown at left.
48÷ 4÷ 4
=12
Always ensure that the final fraction that you calculate is fully simplified. We can further simplify this fraction again to arrive at the answer.
Ans: 12
Page 29
© 2009 Jason Gibson / MathTutorDVD.com The 1st – 7th Grade Math Tutor Section 12 – Adding and Subtracting Fractions
Question
Answer
19) Perform the fraction addition or subtraction below:
3850
+2
50
Begin.
3850
+2
50
In order to add or subtract fractions, the denominators of the fractions (bottom numbers) MUST be the same. Check to ensure that the denominators are equal (see blue at left). The denominators are equal, so we are allowed to add or subtract these fractions in the next step.
5038+ 2
To add or subtract the fractions, you keep the same denominator. You only add or subtract the numerators (top numbers, red at left)
5040
Add or subtract in the numerator and keep the same denominator.
4050
÷ 2÷ 2
=2025
Is the fraction that we obtained fully simplified? Simplify the fraction by dividing the numerator and denominator by the same number as shown at left.
2025
÷ 5÷ 5
=45
Always ensure that the final fraction that you calculate is fully simplified. We can further simplify this fraction again to arrive at the answer.
Ans: 45
Page 30
© 2009 Jason Gibson / MathTutorDVD.com The 1st – 7th Grade Math Tutor Section 12 – Adding and Subtracting Fractions
Question
Answer
20) Perform the fraction addition or subtraction below:
5972
−5
72
Begin.
5972
−5
72
In order to add or subtract fractions, the denominators of the fractions (bottom numbers) MUST be the same. Check to ensure that the denominators are equal (see blue at left). The denominators are equal, so we are allowed to add or subtract these fractions in the next step.
7259 − 5
To add or subtract the fractions, you keep the same denominator. You only add or subtract the numerators (top numbers, red at left)
7254
Add or subtract in the numerator and keep the same denominator.
5472
÷ 6÷ 6
=9
12
Is the fraction that we obtained fully simplified? Simplify the fraction by dividing the numerator and denominator by the same number as shown at left.
9
12÷ 3÷ 3
=34
Always ensure that the final fraction that you calculate is fully simplified. We can further simplify this fraction again to arrive at the answer.
Ans: 34
Page 31