# ADDING FRACTIONS WITH WHOLE NUMBERS

We can follow the steps given below to add a fraction and a whole number.

Step 1 :

Multiply the denominator and whole number.

Step 2 :

After having multiplied the denominator and the whole number, take the denominator as a common denominator.

Step 3 :

Now, simplify the numbers in numerator.

It has been illustrated in the picture shown below. ## Examples

Example 1 :

Find the value of :

1/2 + 1

Solution :

Multiply the denominator 2 and whole number 1.

That is,

⋅ 1  =  2

Now, take the denominator 2 as a common denominator for the sum (1 + 2)

(1 + 2) / 2  =  3 / 2

Therefore, we have

1/2 + 1  =  3/2

Example 2 :

Find the value of :

3/2 + 10

Solution :

Multiply the denominator 2 and whole number 10.

That is,

⋅ 10  =  20

Now, take the denominator 2 as a common denominator for the sum (3 + 20)

(3 + 20) / 2  =  23 / 2

Therefore, we have

3/2 + 10  =  23/10

Example 3 :

Find the value of :

5 + 2/3

Solution :

Multiply the denominator 3 and whole number 5.

That is,

⋅ 5  =  15

Now, take the denominator 2 as a common denominator for the sum (15 + 2)

(15 + 2) / 3  =  17 / 3

There fore, we have

5 + 2/3  =  17/3

Example 4 :

Find the value of :

7/8 + 9

Solution :

Multiply the denominator 8 and whole number 9.

That is,

⋅ 9  =  72

Now, take the denominator 8 as a common denominator for the sum (7 + 72)

(7 + 72) / 8  =  79 / 3

There fore, we have

7/8 + 9  =  79/3

Example 5 :

Find the value of :

7 + 5/8

Solution :

Multiply the denominator 8 and whole number 7.

That is,

⋅ 7  =  56

Now, take the denominator 8 as a common denominator for the sum (56 + 5)

(56 + 5) / 8  =  61 / 8

There fore, we have

7 + 5/8  =  61/8 Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

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