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Grade-4
Adding Fractions With Unlike Denominators - Word Problems
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Anthony plays piano in a restaurant. Yesterday, he played piano
3
5
of an hour in the afternoon and
2
9
of an hour at dinner time. How many hours did he play piano yesterday?
(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 9 is 45.
Now, we have to make sure both fractions have the same new denominator 45.
You can write fraction
3
5
as
3x9
5x9
=
27
45
You can write fraction
2
9
as
2x5
9x5
=
10
45
Now, both fractions have same denominator and we are ready to add
27
45
+
10
45
=
27+10
45
=
37
45
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