Conversion of Fractions to Decimal Numbers

We will discuss here about the working rule for the conversion of fractions to decimal numbers.

The rules for converting fractions with denominators 10, 100, 1000, etc. into decimal fraction:

(i) Count the number of zeroes coming after 1 in the denominator.

(ii) Count an equal number of places in the numerator starting from the unit digit then place the decimal point to the left of the digit reached.

Let us consider some of the following examples;

1. Convert 819/100 to decimal.

Given, 819/100

We see in 819/100 there are two zeroes in the denominator. Therefore, to convert 819/100 into decimal fraction count two places from the right in the numerator and place the decimal point to the left of the digit.

= 8.19

2. Convert 6007/1000 to decimal.

Given, 6007/1000

We see in 6007/1000 there are three zeroes in the denominator. Therefore, to convert 6007/1000 into decimal fraction count three places from the right in the numerator and place the decimal point to the left of the digit.

= 6.007

3. Convert 798/10000 to decimal.

Given, 798/10000

We see in 798/10000 there are four zeroes in the denominator. Therefore, to convert 798/10000 into decimal fraction count four places from the right in the numerator and place the decimal point to the left of the digit.

= 0.0798

4. Convert 1794/10 to decimal.

Given, 1794/10

We see in 1794/10 there are one zero in the denominator. Therefore, to convert 1794/10 into decimal fraction count one place from the right in the numerator and place the decimal point to the left of the digit.

= 179.4

5. Convert 8/100 to decimal.

Given, 8/100

= 0.08

6. Convert 3/10 to decimal.

Given, 3/10

= 0.3

7. Convert 5/1000 to decimal.

Given, 5/1000

= 0.005

8. Convert 9/10000 to decimal.

Given, 9/10000

= 0.0009

9. Convert 192/10 to decimal.

Given, 192/10