Question

How do you express $\dfrac{{48}}{{60}}$ as a percentage?

Answer 1

Hint:As we know that a percentage is a number or ratio expressed as a fraction of $100$ or as a ratio of any value to the whole value multiplied by $100$. It is denoted by using the percent sign, $\% $. The abbreviations used to represent the percentage id “pct” or “pc”.

A percentage is a dimensionless number means it has no unit of measurement. If the number is given in fraction then either we assume a percentage number or by conversing the fraction into decimal form then multiplying by $100$.

Complete step by step solution:
Here the given fraction is $\dfrac{{48}}{{60}}$. Let the number is $x\% $. It can be written as
$\dfrac{x}{{100}}$.

Now to get the percentage we solve for $x$, which means $\dfrac{{48}}{{60}} = \dfrac{x}{{100}}$,

BY multiplying $100$ on both left hand side and right hand side we get: $\dfrac{{48}}{{60}}*100 = \dfrac{x}{{100}}*100$

$ \Rightarrow \dfrac{{4800}}{{60}} = x$, which gives $x = 80$. To get it in percentage form we have $\dfrac{x}{{100}}$, by putting the value of $x$ we get $\dfrac{{80}}{{100}} = 80\% $.

Hence the required answer is $80\% $.

Note: We should always read carefully what the question is asking, percentage or percentile as both of them are different.

A percentage is a number which is represented out of $100$ while a percentile is a percentage of a given value below which a specific number is found. Percentile is the variable and it is not out of $100$ because the value of percentage is always fixed.

 As for example, $20\% $of $2000$is always $400$i.e. it is fixed but if we say that $85th$ percentile is $90$ then it means that if we scored above $90$then only we are better than others.