Fraction Review

TAKE NOTES!!!!!!

Vocabulary

9

2Numerator: the number on top in a fraction

Denominator: the number on bottom in a fraction

Example: What is the numerator in the following fraction? What is the denominator?

5

3 Answer: Numerator is 3. Denominator is 5.

Vocabulary continued:

Improper fraction: when the numerator is larger than the denominator

Example: Which of the following fractions are improper?

Example:

3

5 Numerator is 5

Denominator is 3

Since numerator is bigger than denominator, this fraction is improper

5 > 3

3

78

10

12

11improper improper

NOT improper

Adding Fractions

1) Get a common denominator

2) Change your numerators

3) Add numerators, keep same denominator

4) Put answer in simplest form

Example 15

2+3

1

Step 1: Get a common denominator!

What will 5 AND 3 go into??

15, 30……

Step 2: Change your numerator.

5

2=15

?

3

1= 15?

5

2

33

= 15

6

3

1=15

555

Step 3: Add numerator

15

6+15

5=15

11 Keep same denominator

Step 5: Put in simplest form

Final Answer is 15

11

Subtracting Fractions

1) Get a common denominator

2) Change your numerators

3) Subtract numerators, keep same denominator

4) Put your answer in simplest form

Example 26

3‒4

1

Step 1: Get a common denominatorWhat will 6 AND 4 go into??

12, 24, 36, …

Step 2: Change your numerator

6

3= 24

?

4

1= 24

?

4

1 =24

66

6

Step 3: Subtract numerators

24

12‒24

6=

Keep same denominator

Step 5: Put in simplest form

24

6

24

6 ÷÷

66

=4

1

6

3=24

12

44

Multiplying Fractions

1) Multiply numerators

2) Multiply Denominators

3) Put answer in simplest form

Example 3

8

36

2

Step 1: Multiply Numerators

8

3

6

26

=

Step 2: Multiply denominators

8

36

2= 48

6

Step 3: Put answer in simplest form

48

6 ÷

÷ 6

6=8

1Final answer: 8

1

Dividing Fractions1) Keep 1st fraction the SAME

2) Change ÷ to

3) FLIP the 2nd fraction

4) Multiply

5) Put answer in simplest form

Example 4

9

7

Step 1: Keep 1st fraction the SAME

9

7÷3

2

Step 2: Change ÷ to x

9

7

Step 3: FLIP the 2nd fraction

9

7

2

3

Step 4: Multiply

9

7

2

318

21=

Example 4 continued:

Step 5: Put your answer in simplest form!

18

21This fraction is improper!

Need to divide!

3

21181

‒18

Remainder becomes numerator!Same denominator!

18

31 The fraction part is not in simplest form!

Example 4 continued

Simplify the fraction part!

18

3

3

3=6

1

Final answer is 1

6

1

HOMEWORK

STUDY YOUR NOTES!!!!