Question

How do you convert 0.8% to a fraction?

Answer 1

Hint:
Remember that the "%" sign is read as "percent" and it stands for "per 100". If we take 0.8 parts from a total of 100 parts, how much fraction will it be? Recall that 'a' parts out of 'b' equal parts is a value equal to the fraction $ \dfrac{a}{b} $. So, our answer must be $ \dfrac{0.8}{100} $ expressed in its lowest form.

Complete Step by step Solution:
We know that 0.8% means "0.8 per 100" which can be written as the fraction:
 $ \dfrac{0.8}{100} $
In order to eliminate the decimal point, we multiply both the numerator and the denominator by 10 to give us:
 $ \dfrac{8}{1000} $ , which is the required fraction, but is not in the lowest form yet.
Dividing both the numerator and the denominator by 8, we get:
 $ \dfrac{1}{125} $ , which is the required answer fraction, in its lowest form.

Note:
Percent is abbreviated as "%" which means "per 100" which is just a ratio in which the second number is 100 that is represented in short using the symbol %.
x% is basically equal to $ \dfrac{x}{100} $ in fraction, which can be simplified into its lowest form or can be converted into decimal easily.
Real numbers are of two types:
1) Rational: A rational number is a number which CAN BE expressed in the form $ \dfrac{a}{b} $ , where a and b are integers and $ b\ne 0 $ . Rational numbers are either terminating or non-terminating and repeating in decimal form. e.g. $ \dfrac{17}{5}=3.4 $ , $ \dfrac{52}{9}=5.7777...=5.\bar{7} $ etc.

2) Irrational: An irrational number is a number which CANNOT BE expressed in the form $ \dfrac{a}{b} $ , where a and b are integers. Irrational numbers are non-terminating and non-repeating when expressed in decimal form. e.g. $ \sqrt{2}=1.414213... $ , $ \dfrac{2}{\sqrt{3}+1}=\text{0}\text{.73205}... $ , $ \pi =3.14159... $ etc.