Question

How do you write $70\%$ as a fraction?

Answer 1

Hint: We are given a term as $70\%$ , we are asked to write it into fraction. We will start the solution by understanding what are fraction then we will go on to know what percentage mean how do we find it and what does they refer to then we will use this to change it into fraction. We will also simplify our fraction to get an understanding of simplification.

Complete step by step answer:
We are given a term as $70\%$ we have to change it into fraction. To do our problem we start by first understanding what fraction. So fraction is a form of number written as $\dfrac{a}{b}$ where number ‘a’ is called as numerator and the number ‘b’ is called as denominator, in fraction number the denominator can never be zero.
Now we will understand what percentage means. Percentage is a way of comparing things with the actual capacity of a thing.
For example if you have eaten 2 burgers while you normally eat 4 so it means you have eaten $\dfrac{1}{2}$ of what your actual capacity is so in percentage it is referred to as $50\%$ .
So, percentage % is always compared with 100, meaning we consider 100 as actual value.
So if we do half of what we do normally it means half of 100 which is 50 so 50%.
So we can see that to obtain a fraction we divide the percentage by 100.
So as we have –
$70\%$ so we divide it by 100 and we get the factor
So $70\%=\dfrac{70}{100}$
So $70\%$ in fraction is $\dfrac{70}{100}$

Note:
We can also simplify our fraction, to simplify fractions we remove the like term that is in 70. We have $7\times 2\times 5$
While in 100 we have $2\times 2\times 5\times 5$
So, 2 and 5 is same
$\dfrac{70}{100}=\dfrac{7\times 2\times 5}{2\times 2\times 5\times 5}$ , we get –
$\dfrac{70}{100}=\dfrac{7}{10}$ , so simplified fraction is $\dfrac{7}{10}$