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 ${\displaystyle \frac{a}{b}}$. So, our answer must be ${\displaystyle \frac{0.8}{100}}$ 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:
 ${\displaystyle \frac{0.8}{100}}$
In order to eliminate the decimal point, we multiply both the numerator and the denominator by 10 to give us:
 ${\displaystyle \frac{8}{1000}}$ , which is the required fraction, but is not in the lowest form yet.
Dividing both the numerator and the denominator by 8, we get:
 ${\displaystyle \frac{1}{125}}$ , 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 ${\displaystyle \frac{x}{100}}$ 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 ${\displaystyle \frac{a}{b}}$ , 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. ${\displaystyle \frac{17}{5}}=3.4$ , ${\displaystyle \frac{52}{9}}=5.7777...=5.\overline{7}$ etc.

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