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Grade-4
Adding Fractions With Unlike Denominators - Word Problems
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Reagan made two types of pies. She used
1
9
cups of sugar for the first recipe and used
4
8
cups of sugar for the other recipe. How many cups of sugar did Reagan use in all for the pies?
(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 9 and 8 is 72.
Now, we have to make sure both fractions have the same new denominator 72.
You can write fraction
1
9
as
1x8
9x8
=
8
72
You can write fraction
4
8
as
4x9
8x9
=
36
72
Now, both fractions have same denominator and we are ready to add
8
72
+
36
72
=
8+36
72
=
44
72
That can be simplified to
=
11
18
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