Question

Convert the following into percent:
$\dfrac{{12}}{{16}}$

Answer 1

Hint: Check whether the value to be expressed in ratio is given in ratio or not. If not, convert it into ratio and then multiply the ratio by hundred to obtain the percent value.

Complete step-by-step answer:
Percent is a Latin word meaning per centum or "by a hundred".
Percent is also known as percentage.
It is a number or ratio expressed as the fraction of 100.
It is denoted by the $\% $ sign.
The percent value is computed by multiplying the numeric value of the ratio by 100.
If the number is not given in ratio, we first need to compute the ratio and then find the percent value by multiplying the ratio by 100.
Given the problem, we need to convert $\dfrac{{12}}{{16}}$ into percent.
The number is already given in ratio.
Therefore, we only need to multiply the given ratio by hundred in order to obtain the percentage.
Hence the percent value will be given by,
$ \Rightarrow \dfrac{{12}}{{16}} \times 100$
Taking out the common factor in the numerator and denominator of the fraction,
$
   \Rightarrow \dfrac{{3 \times 4}}{{4 \times 4}} \times 100 \\
   \Rightarrow \dfrac{3}{4} \times 100 = \dfrac{3}{4} \times 25 \times 4 \\
   \Rightarrow 3 \times 25 = 75 \\
$
Hence value comes out to be 75 %.
Therefore, the value of the ratio $\dfrac{{12}}{{16}}$ in percent is 75 %.

Note: The ratio of the number can be calculated by dividing the given value by the total value. Percentage can be used as a method to compare two ratios or fractions. It is also used in profit loss arithmetic problems. The increment or decrement of a value is often expressed in percentage.