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Grade-4
Adding Fractions With Unlike Denominators - Word Problems
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Jordan added
3
10
of a cup of cashew-nuts to a batch of cake mix. Later he added
3
7
of a cup of dried cranberries to the same mixture. How many cups of nuts and cranberries did Jordan put in the cake mix altogether?
(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 10 and 7 is 70.
Now, we have to make sure both fractions have the same new denominator 70.
You can write fraction
3
10
as
3x7
10x7
=
21
70
You can write fraction
3
7
as
3x10
7x10
=
30
70
Now, both fractions have same denominator and we are ready to add
21
70
+
30
70
=
21+30
70
=
51
70
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