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Grade-4
Adding Fractions With Unlike Denominators - Word Problems
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Abigail wants to join the swim team, so she started practicing twice a day. Today she swam
3
5
of an hour in the morning and
2
10
of an hour in the evening. Total, how long did Abigail 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 5 and 10 is 10.
Now, we have to make sure both fractions have the same new denominator 10.
You can write fraction
3
5
as
3x2
5x2
=
6
10
You can write fraction
2
10
as
2x1
10x1
=
2
10
Now, both fractions have same denominator and we are ready to add
6
10
+
2
10
=
6+2
10
=
8
10
That can be simplified to
=
4
5
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