Question

How do you convert 0.62 into fractions?

Answer 1

Hint: To convert 0.62 into fraction count the numbers after the point then, the denominator can be calculated by \[{10^n}\] where $n$ is the number of digits after the decimal. Then, we replace the decimal with 1 in the denominator and write zero for each number after the decimal.

Complete Step by Step Solution:
A decimal fraction can be defined as the fraction in which the denominator of any rational number is in the power of 10 such as 10,100,1000 etc. depending on the number of digits after the decimal. The denominator can be calculated by \[{10^n}\] where $n$ is the number of digits after the decimal.
As it is given in the question, we have to convert 0.62 into a fraction. So, there are two digits after the decimal in 0.62.
Therefore, the denominator can be calculated as –
$ \Rightarrow {10^2} = 100$
Hence, the number in the denominator will be 100. So, we have to decimal with 1 in the denominator and write zero for each number after the decimal.
Therefore, the fraction can be written as –
$ \Rightarrow \dfrac{{62}}{{100}}$
which is in the fractional form but it should be in the simplest form. So, we will convert the above fraction into its simplest form.
So, find the common factor of 62 and 100. Hence, we get 2 as a common factor of 62 and 100. So, dividing the fraction by 2, we get –
$
   \Rightarrow \dfrac{{62 \div 2}}{{100 \div 2}} \\
   \Rightarrow \dfrac{{31}}{{50}} \\
 $
Hence, this is the required fraction.

Note: Many students can make mistakes and think that $\dfrac{{62}}{{100}}$ is the required fraction but we should try to convert the fraction into its simplest form which is the correct form of a fraction. So, the fraction should be converted to a simple form.