# Add Mixed Numbers with Unlike Denominators

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To add mixed numbers, we first add the whole number parts together, and then the fraction parts.

For example: Let's find the sum of:

 5 5 7
+
 2 1 4

5 + 2 = 7

 5 7
+
 1 4

Find the least common multiple of 7 and 4.

Least common multiple of 7 and 4 is 28.

So, least common denominator = 28

Now, rewrite both the fractions with denominator 28 .

 5 7
×
 4 4
=
 20 28
 1 4
×
 7 7
=
 7 28

 5 7
+
 1 4
=
 20 28
+
 7 28
=
 20 + 7 28
=
 27 28

Now, write the sum of whole parts and fraction parts together.

7
 27 28

So, the required sum is
 7 27 28
.

ds

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