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.
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.
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.
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 %
(i) In fraction is 23/100
(ii) In per cent is 23%