# 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
.

ds

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### Help

##### Remember :

The smallest number is the one that comes first while counting.

##### Solution :

To arrange the given numbers in order from smallest to greatest, find the smallest number among all the given numbers.

21,27,23

21 is the smallest number.