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 $\dfrac{{13}}{{100}}$ in fraction. As $\dfrac{{13}}{{100}}$ 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 $\dfrac{{13}}{{100}}$ 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 $\dfrac{1}{2}$ . An improper fraction has a larger numerator and smaller denominator like $\dfrac{3}{2}$ . The fractions which have the same denominator is like fraction for example $\dfrac{1}{2},\dfrac{3}{2},\dfrac{5}{2},\dfrac{7}{2}$ . $\dfrac{1}{2} + \dfrac{3}{2} + \dfrac{5}{2} + \dfrac{7}{2} = \dfrac{{(1 + 3 + 5 + 7)}}{2} = \dfrac{{16}}{2} = 8$ . The fractions which have unequal denominators are called unlike fractions for example $\dfrac{1}{2},\dfrac{1}{3}$ . $\dfrac{1}{2} + \dfrac{1}{3} = \dfrac{{3 + 2}}{6} = \dfrac{5}{6}$ . Equivalent fractions have the same result after simplification, for example, $\dfrac{1}{2}and\dfrac{2}{4}$ 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.