Percentages – Fractions Conversions

Percentages – Fractions Conversions:

The following is a table showing the conversions of percentages and decimals into fractions:

Percentage Decimal Fraction

10%                            0.1                               1/10

12.5%                         0.125                           1/8

16.66%                       0.1666                         1/6

20%                            0.2                               1/5

25%                            0.25                             1/4

30%                            0.3                               3/10

33.33%                       0.3333                         1/3

40%                            0.4                               2/5

50%                            0.5                               1/2

60%                            0.6                               3/5

62.5%                         0.625                           5/8

66.66%                       0.6666                         2/3

70%                            0.7                               7/10

75%                            0.75                             3/4

80%                            0.8                               4/5

83.33%                       0.8333                         5/6

90%                            0.9                               9/10

100%                          1.0                                1

Similarly we can go for converting decimals more than 1 from the knowledge of the above cited conversions as follows:

We know that 12.5% = 0.125 = 1/8

Then, 1.125 = [8(1)+1]/8 = 9/8 (i.e., the denominator will add to numerator once, denominator remaining the same.

Also, 2.125 = [8(2)+1]/8 = 17/8 (here the denominator is added to numerator twice)

3.125 = [8(3)+1]/8 = 25/8 and so on.

Thus we can derive the fractions for decimals more than 1 by using those les than 1.

We will see how use of fractions will reduce the time for calculations:

Eg: What is 62.5% of 320?

Soln: Value = (5/8) X 320 (since 62.5% = 5/8)

= 200.