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Grade-5
Adding Fractions With Unlike Denominators - Word Problems
Practice Preview
John finished
2
12
of a video game yesterday and another
1
9
today. What fraction of the video game did John finish in these two days?
(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 12 and 9 is 36.
Now, we have to make sure both fractions have the same new denominator 36.
You can write fraction
2
12
as
2x3
12x3
=
6
36
You can write fraction
1
9
as
1x4
9x4
=
4
36
Now, both fractions have same denominator and we are ready to add
6
36
+
4
36
=
6+4
36
=
10
36
That can be simplified to
=
5
18
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