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Grade-5
Subtracting Fractions With Unlike Denominators - Word Problems
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Lily and William were checking the weight of their backpacks. Lily’s backpack weighed
4
6
of a pound and William’s backpack weighed
3
7
of a pound. How much heavier is Lily’s backpack than William’s backpack?
(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 6 and 7 is 42.
Now, we have to make sure both fractions have the same new denominator 42.
You can write fraction
4
6
as
4x7
6x7
=
28
42
You can write fraction
3
7
as
3x6
7x6
=
18
42
Now, both fractions have same denominator and we are ready to subtract
28
42
-
18
42
=
28-18
42
=
10
42
That can be simplified to
=
5
21
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