# Add Fractions with Unlike Denominators

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Use least common denominator to find the sum of fractions with unlike denominators.

For example: Let's find the sum of:

 2 7
and
 1 4

Notice that 28 is the common denominator.

First of all, rewrite both the fractions having common denominator 28.

Multiply the numerator and denominator of
 2 7
by 4 to find an equivalent fraction.
 2 7
×
 4 4
=
 8 28
Multiply the numerator and denominator of
 1 4
by 7 to find an equivalent fraction.
 1 4
×
 7 7
=
 7 28

Now add fractions. Add numerators and keep denominators the same.

 2 7
+
 1 4
=
 8 28
+
 7 28
=
 15 28
is written in simplest form.

So, the required sum is
 15 28
.

ds

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### Help

The correct answer is

##### 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.