ADD AND SUBTRACT MIXED NUMBERS

Example 1 :

Add the following

Solution :

Example 2 :

Add the following

Solution :

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

Now we have to combine the fraction parts

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) ⋅ (2/2) = 10/12

(1/4) ⋅ (3/3) = 3/12

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

Example 3 :

Add the following

Solution :

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

Now we have to combine the fraction parts

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) ⋅ (5/5)  =  5/15

(2/5) ⋅ (3/3)  =  6/15

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

Hence the answer is 7  11/15.

Example 4 :

Add the following

Solution :

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

Now we have to combine the fraction parts

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) ⋅ (2/2) = 2/8

(7/8) + (2/8)  =  (7+2) / 8  ==> 9/8

Example 5 :

Add the following

Solution :

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

Now we have to combine the fraction parts

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) ⋅ (7/7)  =  14/21

(5/7) ⋅ (3/3)  =  15/21

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

Hence the answer is 6  8 /21.

Example 6 :

Add the following

Solution :

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

Now we have to combine the fraction part

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) ⋅ (3/3)  = 12/15

(1/3) ⋅ (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.

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