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Grade-4
Adding Fractions With Unlike Denominators - Word Problems
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Annie wants to join the swim team, so she started practicing twice a day. Today she swam
4
10
of an hour in the morning and
3
8
of an hour in the evening. Total, how long did Annie swim today?
(Solve and reduce the fraction.)
Explanation
Remember, we cannot add fractions until the denominators are same. So, we have to find the least common denominator.
Least Common Denominator (LCD) of 10 and 8 is 40.
Now, we have to make sure both fractions have the same new denominator 40.
You can write fraction
4
10
as
4x4
10x4
=
16
40
You can write fraction
3
8
as
3x5
8x5
=
15
40
Now, both fractions have same denominator and we are ready to add
16
40
+
15
40
=
16+15
40
=
31
40
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