 # How do you convert 0.23 into a fraction and per cent?

Numbers can be expressed in fractions as well as in decimals and also in per cent form. First let us know the definitions of both.

Decimal

A decimal number is a number which has a dot(.) or decimal point between the digits. Basically, decimals are nothing but the fractions with denominator as 10 or multiples of 10.

Example: 5.7, 8.5, 11.98 etc.

Fractions

Fraction is a part of a whole number. It is denoted as a ratio of two numbers a/b, where a and b are integers, also b≠0. The two numbers are called the numerator and denominator.

Example: 3/4, 5/8, 9/4 etc.

### Per cent

A percentage is a number or ratio that can be expressed as a fraction of 100.

Example: 25/100= 25%

## Conversion of decimal into fraction

To convert decimal into fraction we follow the given steps

• Firstly, count the numbers after the decimal point or right side of the decimal point.
• If n is the number of digits on the right side of the decimal point, then multiply and divide the whole number by 10n to remove the decimal from the numerator.
• After that, you can simplify the number, by reducing the numerator and denominator.
• The resultant will be the required fraction from the given decimal number.

## To convert 0.23 into fraction

Given, decimal number 0.25, we need to find the fraction for 0.25

We can also find a number of equivalent fractions by finding its multiples.

0.23 = 23/100

### Fraction into percent

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the per cent.

To convert fraction to a per cent, you just need to multiply the fraction by 100 and reduce it to per cent.

From above conversion 0.23 =23/100

23 / 100 in per cent form is

23/100 X 100= 2300 /100=23 %