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Grade-4
Adding Fractions With Unlike Denominators - Word Problems
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Mia cooked cheese casserole. She ate
3
6
of the casserole and gave
3
10
of the casserole away to her aunt. How much of the cheese casserole is either eaten or given away by Mia?
(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 6 and 10 is 30.
Now, we have to make sure both fractions have the same new denominator 30.
You can write fraction
3
6
as
3x5
6x5
=
15
30
You can write fraction
3
10
as
3x3
10x3
=
9
30
Now, both fractions have same denominator and we are ready to add
15
30
+
9
30
=
15+9
30
=
24
30
That can be simplified to
=
4
5
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