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Grade-5
Adding Fractions With Unlike Denominators - Word Problems
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Charles finished
1
14
of his homework before supper and
2
11
after supper. What fraction of his homework did Charles finish?
(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 14 and 11 is 154.
Now, we have to make sure both fractions have the same new denominator 154.
You can write fraction
1
14
as
1x11
14x11
=
11
154
You can write fraction
2
11
as
2x14
11x14
=
28
154
Now, both fractions have same denominator and we are ready to add
11
154
+
28
154
=
11+28
154
=
39
154
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