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Grade-4
Subtracting Fractions With Unlike Denominators - Word Problems
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Kyle has been working on a puzzle for the last two days. As of today, he has finished
4
10
of the puzzle. If Kyle completed
1
7
of the puzzle yesterday, what fraction of the puzzle did he complete the day before yesterday?
(Solve and reduce the fraction.)
Explanation
Remember, we cannot subtract 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
4
10
as
4x7
10x7
=
28
70
You can write fraction
1
7
as
1x10
7x10
=
10
70
Now, both fractions have same denominator and we are ready to subtract
28
70
-
10
70
=
28-10
70
=
18
70
That can be simplified to
=
9
35
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