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Grade-4
Adding Fractions With Unlike Denominators - Word Problems
Practice Preview
Reagan works in a clothing manufacturing unit. She stitches a button in
4
9
of an hour and a handkerchief in
3
8
of an hour. How much time will she take in stitching both a button and a handkerchief?
(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 8 and 9 is 72.
Now, we have to make sure both fractions have the same new denominator 72.
You can write fraction
3
8
as
3x9
8x9
=
27
72
You can write fraction
4
9
as
4x8
9x8
=
32
72
Now, both fractions have same denominator and we are ready to add
27
72
+
32
72
=
27+32
72
=
59
72
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