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Grade-4
Adding Fractions With Unlike Denominators - Word Problems
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Annie bought a long red ribbon. She used
4
7
of the ribbon for an art project and
3
9
of the ribbon for tying her hair. How much of the ribbon did she use in all?
(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 7 and 9 is 63.
Now, we have to make sure both fractions have the same new denominator 63.
You can write fraction
4
7
as
4x9
7x9
=
36
63
You can write fraction
3
9
as
3x7
9x7
=
21
63
Now, both fractions have same denominator and we are ready to add
36
63
+
21
63
=
36+21
63
=
57
63
That can be simplified to
=
19
21
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