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Subtract Fractions with Unlike Denominators

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Use the least common denominator to find the difference between fractions with unlike denominators.

For example: Let's find the difference of:

5
6
and
1
2

Notice that 6 is the common denominator.

First of all, rewrite the fraction having common denominator 6.

Multiply the numerator and denominator of
1
2
 by 3 to find an equivalent fraction.
1
2
×
3
6
=
3
6

Now subtract fractions. Subtract numerators and keep denominators the same.

5
6
–
1
2
=
5
6
–
3
6
=
2
6
is not written in simplest form.

 

2
6
÷
2
2
=
1
3
So, the required difference is
1
3
.