Question

How do you convert 0.13 into a fraction and percent?

Answer 1

Hint:
In the above question, we were asked to convert 0.13 into fraction and percent. At first, we will convert 0.13 into a fraction and then we will convert it into a percentage. So, let us see how we can solve this problem.

Complete step by step solution:
The number of digits after the decimal point is equal to the total number of 0’s. We have 0.13 so it will be ${\displaystyle \frac{13}{100}}$ in fraction. As ${\displaystyle \frac{13}{100}}$ is already in the lowest form so it will be the answer.
For converting 0.13 into percentage we will multiply it with 100 because a percentage is always calculated against 100.
So, (0.13 x 100)%
= 13%

Therefore, 0.13 is ${\displaystyle \frac{13}{100}}$ in fraction and 13% in percentage.

Additional Information:
There are 6 types of fractions; Proper fraction, Improper fraction, Mixed fraction, Like fraction, Unlike fraction, and Equivalent fraction. In a proper fraction, the numerator is smaller and the denominator is larger like ${\displaystyle \frac{1}{2}}$ . An improper fraction has a larger numerator and smaller denominator like ${\displaystyle \frac{3}{2}}$ . The fractions which have the same denominator is like fraction for example ${\displaystyle \frac{1}{2}},{\displaystyle \frac{3}{2}},{\displaystyle \frac{5}{2}},{\displaystyle \frac{7}{2}}$ . ${\displaystyle \frac{1}{2}}+{\displaystyle \frac{3}{2}}+{\displaystyle \frac{5}{2}}+{\displaystyle \frac{7}{2}}={\displaystyle \frac{(1+3+5+7)}{2}}={\displaystyle \frac{16}{2}}=8$ . The fractions which have unequal denominators are called unlike fractions for example ${\displaystyle \frac{1}{2}},{\displaystyle \frac{1}{3}}$ . ${\displaystyle \frac{1}{2}}+{\displaystyle \frac{1}{3}}={\displaystyle \frac{3+2}{6}}={\displaystyle \frac{5}{6}}$ . Equivalent fractions have the same result after simplification, for example, ${\displaystyle \frac{1}{2}}and{\displaystyle \frac{2}{4}}$ are equivalent.

Note:
Percent simply means a specified amount for every hundred. A decimal number has 2 parts; one is the whole number and the other is the fractional part which is separated by a decimal point. Also, the number of digits after the decimal point is equal to the total number of 0’s.