SIMPLE PROBLEMS ON PERCENTAGES

Percentages are fractions with 100 as denominator

EXAMPLE 1

Change the following fractions to percentages

1. ^2/₅ =  ²/₅ of 100 = ^2/₅  ×  100 = 200  = 40%

5

EXAMPLE 2

Change these percentage to fractions

1. 75% = 75  = 15 = 3    

100     20    4

EXAMPLE 3

Change 7 ½% to fractions in their lowest terms

Solution

7 ½ % = 7 ½ out of 100

= 15/2 × 1/100

= (15 × 1) ÷ 200

= 15 ÷ 200 = 3/40

EXERCISE

Change the following fraction to percentage

1. ²_/5
2. ^2/₄
3. ³/₃₀

Change to fractions in their lowest terms

1. 66 ½ %
2. 12 ¼ %
3. 16 ²/₃ %

 

See also

RATIO AND PERCENTAGE

PROFIT AND LOSS

PROBLEM ON MULTIPLICATION OF MONEY

Money

ESTIMATION