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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

Add the whole parts.

 

5 + 2 = 7

 

Now, add the fraction parts.

 

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


Now, add:

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
.