# ADD AND SUBTRACT MIXED NUMBERS

Add and subtract mixed numbers :

Here we are going to see some example problems to understand how to add and subtract mixed numbers.

We can separate a mixed fraction into two parts

• Whole part
• Fractional part

To add or subtract two or more mixed fractions, we have to combine the whole part and combine the fractional part separately.

Example 1 :

Solution :

Example 2 :

Solution :

By combining the whole parts, we get (6 + 3) = 9

Now we have to combine the fraction part, that is 5/6 and 1/4.Since the denominators are not same, we have to take L.C.M.

L.C.M (6, 4) = 12

(5/6) x (2/2) = 10/12

(1/4) x (3/3) = 3/12

(10/12) + (3/12)  =  (10+3) / 12  ==> 13/12

Example 3 :

Solution :

By combining the whole parts, we get (4 + 3) = 7

Now we have to combine the fraction part, that is 1/3 and 2/5.Since the denominators are not same, we have to take L.C.M.

L.C.M (3, 5) = 15

(1/3) x (5/5) = 5/15

(2/5) x (3/3) = 6/15

(5/15) + (6/15)  =  (6+5) / 15  ==> 11/15

Hence the answer is 7  11/15.

Example 4 :

Solution :

By combining the whole parts, we get (7- 6) = 1

Now we have to combine the fraction part, that is 7/8 and 1/4.Since the denominators are not same, we have to take L.C.M.

L.C.M (8, 4) = 8

7/8 = 7/8

(1/4) x (2/2) = 2/8

(7/8) + (2/8)  =  (7+2) / 8  ==> 9/8

Example 5 :

Solution :

By combining the whole parts, we get (3+2) = 5

Now we have to combine the fraction part, that is 2/3 and 5/7.Since the denominators are not same, we have to take L.C.M.

L.C.M (3, 7) = 21

(2/3) x (7/7)  = 14/21

(5/7) x (3/3) = 15/21

(14/21) + (15/21)  =  (14+15) / 21  ==> 29/21

Hence the answer is 6  8 /21.

Example 6 :

Solution :

By combining the whole parts, we get (5-3) = 2

Now we have to combine the fraction part, that is 4/5 and 1/3.Since the denominators are not same, we have to take L.C.M.

L.C.M (5, 3) = 15

(4/5) x (3/3)  = 12/15

(1/3) x (5/5) = 5/15

(12/15) + (5/15)  =  (12+5)/15  ==> 17/15

By converting this as mixed fraction, we get 2  2/15

Combining the whole part with this mixed fraction, we get 2 + 2  2/15 ==> 4  2/15

Hence the answer is 4  2 /15.

After having gone through the stuff given above, we hope that the students would have understood "Add and subtract mixed numbers".

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