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Grade-5
Subtracting Fractions With Unlike Denominators - Word Problems
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John drew a line that was
3
6
inches long. If he drew a second line that was
1
7
inches long, what is the difference between the lengths of the two lines?
(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 6 and 7 is 42.
Now, we have to make sure both fractions have the same new denominator 42.
You can write fraction
3
6
as
3x7
6x7
=
21
42
You can write fraction
1
7
as
1x6
7x6
=
6
42
Now, both fractions have same denominator and we are ready to subtract
21
42
-
6
42
=
21-6
42
=
15
42
That can be simplified to
=
5
14
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