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Grade-5
Adding Fractions With Unlike Denominators - Word Problems
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Last week Anita learned
3
8
of all lessons that will be on a test. Today she learned another
1
6
of the lessons. What fraction of all lessons did Anita learn so far?
(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 6 is 24.
Now, we have to make sure both fractions have the same new denominator 24.
You can write fraction
3
8
as
3x3
8x3
=
9
24
You can write fraction
1
6
as
1x4
6x4
=
4
24
Now, both fractions have same denominator and we are ready to add
9
24
+
4
24
=
9+4
24
=
13
24
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