Question

What is $\dfrac{6}{5}$ in percent ?

Answer 1

Hint: Solve this question we need to know the concept of percentage. This question asks us to change the fraction into percentage, which means this fraction will be represented as the fraction of 100. So, we have to multiply $\dfrac{6}{5}$ by 100 to get the answer.

Complete step by step solution:
We are given the fraction $\dfrac{6}{5}$, which needs to be converted into the fraction of 100. So solving this, the first step will be ,
The fraction will be multiplied by $100$, to find the value in percentage. We have it as,
$\Rightarrow \dfrac{6}{5}\times 100$
Multiplying the terms in the numerator and the terms in the denominator, we get
$\Rightarrow \dfrac{6\times 100}{5}$
On multiplying we get
$\Rightarrow \dfrac{600}{5}$
The fraction need to be reduced in its lowest term, thus on reducing we get
$\Rightarrow 120$
After the calculation of fraction in percentage we have got the value as$120$ but since the fraction which we have converted in percentage means the fraction of hundred therefore sign of percentage will be used ,$\%$ hence indicating the value to be in percentage.

$\therefore $ The fraction $\dfrac{6}{5}$ when written in terms of percentage is $120\%$.

Note: A number with a percentage sign means that the number is a fraction of 100. So here $120\%$ when written in fraction will be written as
$\Rightarrow \dfrac{120}{100}$
Now we will bring the fraction to its lowest form, this is done by dividing the number by the common factors (same number) of both numerator and denominator. So on doing this we get:
$\Rightarrow \dfrac{6}{5}$
So, the fraction we get after converting the percentage to fraction is $\dfrac{6}{5}$. This means the answer we obtained is correct. It has a wide application in the real world.