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Grade-4
Adding Fractions With Unlike Denominators - Word Problems
Practice Preview
Judy ate
2
10
of a pizza and William ate
3
5
of the same pizza. How much pizza did they eat altogether?
(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 5 is 10.
Now, we have to make sure both fractions have the same new denominator 10.
You can write fraction
2
10
as
2x1
10x1
=
2
10
You can write fraction
3
5
as
3x2
5x2
=
6
10
Now, both fractions have same denominator and we are ready to add
2
10
+
6
10
=
2+6
10
=
8
10
That can be simplified to
=
4
5
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