Page 111 - Math Skill - 5

Percentage, Profit and Loss 109

2. Convert each of the following fractions into percentage.

35 1 8 1
(a) (b) 5 (c) (d)
40 4 25 4

7 3 38 18
(e) (f) 2 (g) (h)
100 10 100 100

Converting Decimal into Percentage

To convert a decimal into percentage, we write the given decimal as a fraction and then multiply
by 100. We put % symbol in the answer.

Let’s learn through examples.

Let’s Attempt

Example: Convert the following decimals into percentage.
(a) 0.8 (b) 0.35

8 100 35
Solution: (a) 0.8 = × (b) 0.35 =
10 100 100

= 80% 35 100 35%
100 100

Thus, 0.8 = 80% Thus, 0.35 = 35%

Converting Percentage into Decimal

To convert a percentage into decimal, we remove the % symbol and divide the number by 100
and then write the fraction in decimal form.
Let’s learn through examples.

Let’s Attempt

Example: Express the following percentage as a decimal number.

(a) 65% (b) 5.7%

Solution: (a) 65% = 65 = 0.65 (b) 5.7% = 57. = 57 = 0.057
100 100 1000

Exercise 8.2

1. Convert each of the following decimals into percentage.

(a) 0.25 (b) 0.73 (c) 0.255 (d) 0.627
(e) 0.04 (f) 1.05 (g) 8.2 (h) 9.5