adding and subtracting improper fractions
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TRANSCRIPT
Did you know that you can add improper fractions?
34
34
+
To do it is the same as normal.Read this sum out loud.
Do these fractions have the samedenominator?
34
34
+
The fractions have the same
denominatorquarters
34
34
+ =??
How do we add these two fractions?
34
34
+ =?4
Because both denominators are the same,we do not change it, so it must be quarters.
34
34
+=
64
Now we add the numerators. 3 + 3 = 6.
34
34
+ =64
Here is our answer!
34
34
+
Three quarters plus three quartersequals six quarters.
quarters
64
=
How do we show this?
Three quarters plus three quartersequals six quarters.
34
34
+64
=
Let’s try another one!
76
26
+
Read this sum out loud.
Do these fractions have the samedenominator?
76
26
+
The fractions have the same
denominatorsixths
76
26
+ =??
How do we add these two fractions?
76
26
+ =?6
Because both denominators are the same,we do not change it, so it must be sixths.
76
26
+=
96
Now we add the numerators. 7 + 2 = 9.
76
26
+ =96
Here is our answer!
76
26
+
Seven sixths plus two sixthsequals nine sixths.
sixths
96
=
How do we show this?
Seven sixths plus two sixthsequals nine sixths.
76
26
+96
=
One last examplefor addition!
86
96
+
Read this sum out loud.
Do these fractions have the samedenominator?
86
96
+
The fractions have the same
denominatorsixths
86
96
+ =??
How do we add these two fractions?
86
96
+ =?6
Because both denominators are the same,we do not change it, so it must be sixths.
86
96
+=17 6
Now we add the numerators. 8 + 9 = 17.
86
96
+ =17 6
Here is our answer!
86
96
+
Eight sixths plus nine sixthsequals seventeen sixths.
sixths
17 6
=
How do we show this?
Eight sixths plus nine sixthsequals seventeen sixths.
86
96
+17 6
=
Now it’s time for you to try some.You can discuss these with a friend.
Thinking time starts now !
36
86
59
59
47
47
58
78
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??
+
+
+
+
=
=
=
=
36
86
59
59
47
47
58
78
11 6
10 9
12 8
+
+
+
+
=
=
=
=
The answers.How did you do?
8 7
Did you know that you can also subtract improper fractions?
16 4
64
-
To do it is the same as normal.Read this sum out loud.
Do these fractions have the samedenominator?
16 4
64
-
The fractions have the same
denominatorquarters
16 4
64
- =??
How do we subtract these two fractions?
16 4
64
- =?4
Because both denominators are the same,we do not change it, so it must be quarters.
16 4
64
-=10 4
Now we subtract the second numeratorfrom the first numerator. 16 - 6 = 10.
16 4
64
- =10 4
Here is our answer!
16 4
64
-
Sixteen quarters minus sixquarters equals ten quarters.
quarters
10 4
=
How do we show this?
Sixteen quarters minus sixquarters equals ten quarters.
16 4
64
-10 4
=
16 4
64
-
To do it is the same as normal.Read this sum out loud.
Do these fractions have the samedenominator?
8 6
16
-
The fractions have the same
denominatorsixths
8 6
16
- =??
How do we subtract these two fractions?
8 6
16
- =?6
Because both denominators are the same,we do not change it, so it must be sixths.
8 6
16
-= 7 6
Now we subtract the second numeratorfrom the first numerator. 8 - 1 = 7.
8 6
16
- = 7 6
Here is our answer!
8 6
16
-
Eight sixths minus onesixth equals seven sixths.
sixths
7 6
=
How do we show this?
Eight sixths minus onesixth equals seven sixths.
8 6
16
- 7 6
=
Now it’s time for you to try some.You can discuss these with a friend.
Thinking time starts now !
13 6
56
15 9
19
19 7
87
12 8
98
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??
??
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=
=
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13 6
56
15 9
19
19 7
87
12 8
98
86
11 7
14 9
38
-
-
-
-
=
=
=
=
The answers.How did you do?