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Grade-5
Subtracting Fractions With Unlike Denominators - Word Problems
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A soup kitchen had
5
7
gallons of soup at the start of the day. By the end of the day they had
4
10
gallons of soup left. How many gallons of soup did they serve during the day?
(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 7 and 10 is 70.
Now, we have to make sure both fractions have the same new denominator 70.
You can write fraction
5
7
as
5x10
7x10
=
50
70
You can write fraction
4
10
as
4x7
10x7
=
28
70
Now, both fractions have same denominator and we are ready to subtract
50
70
-
28
70
=
50-28
70
=
22
70
That can be simplified to
=
11
35
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