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Grade-4
Subtracting Fractions With Unlike Denominators - Word Problems
Practice Preview
Charles ate
4
10
of a pizza and Abby ate
1
7
less than Charles. What fraction of a pizza did Abby eat?
(Solve and reduce the fraction.)
Explanation
Remember, we cannot subtract fractions until the denominators are same. So, we have to find the least common denominator.
Least Common Denominator (LCD) of 10 and 7 is 70.
Now, we have to make sure both fractions have the same new denominator 70.
You can write fraction
4
10
as
4x7
10x7
=
28
70
You can write fraction
1
7
as
1x10
7x10
=
10
70
Now, both fractions have same denominator and we are ready to subtract
28
70
-
10
70
=
28-10
70
=
18
70
That can be simplified to
=
9
35
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