Fractions And Equivalent Decimals

The decimal number and the fraction are almost similar. We derive the decimal number from Fractions only. So there exist a equivalent decimals for every fraction. As we know that Decimals are Numbers whose denominator is power of ten, the basic difference between the fractions and the decimals are that the fractions have the denominator and numerator whereas the decimal number only is a number that is separated by (.) decimal separator or Period.

Example of some fractions and equivalent decimals are:
 

1.    $\frac{1}{2}$ = 0.5

2.    $\frac{3}{2}$ = 1.5

3.    $\frac{4}{2}$ = 2 (which is also a decimal with value 2. 0)

The reversal is also possible. Example of such are as follows:
 

1.      0.075 = $\frac{75}{1000}$

2.      0.25 = $\frac{1}{4}$

3.      1.24 = $\frac{5}{4}$

If we want to find a decimal from a fraction, we can do it in a very simple method by making the denominator in the multiple of 10 and with which the numerator will also get simplified.

Example:

$\frac{3}{4}$

= $\frac{3*25}{4*25}$

= $\frac{75}{100}$

= 0.75 .

There are certain fraction and equivalent decimals whose exact values are difficult to find. For example we want to divide $\frac{8}{9}$ we will get the equivalent decimal as 0.88888888....... This gives a recurring value which does not get the exact answer in such case we can take an approximate value or can give the answer up to a particular Point with a dot given on the top like 0.8.