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Grade-5
Adding Fractions With Unlike Denominators - Word Problems
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Riley is an artist. She worked on an art piece for
2
10
of an hour in the morning and
5
9
in the evening. How many hours did she work on the art piece 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 9 is 90.
Now, we have to make sure both fractions have the same new denominator 90.
You can write fraction
2
10
as
2x9
10x9
=
18
90
You can write fraction
5
9
as
5x10
9x10
=
50
90
Now, both fractions have same denominator and we are ready to add
18
90
+
50
90
=
18+50
90
=
68
90
That can be simplified to
=
34
45
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