Question

How can we convert \[\dfrac{5}{8}\] into decimal and percentage?

Answer 1

Hint:
In order to calculate the percentage of any fraction, multiply fraction by 100 and find the result. After getting the percentage, we can easily get the decimal value by shifting the decimal point two places to the left.

Formula used:
The formula used to calculate percentage of any fraction is \[\dfrac{a}{b} \times 100\]

Complete step by step solution:
Let we have given a fraction in the form of $\dfrac{a}{b}$,where b is not equal to 0. To get the percentage we need to multiply the fraction $\dfrac{a}{b}$ with 100.
 In the given question we have given fraction as $\dfrac{5}{8}$
So, to calculate the percent from the fraction, we have to first find the decimal value of fraction $\dfrac{5}{8}$
Now, the fraction can be expressed in percentage by:
\[
  \dfrac{5}{8} \times 100 = \dfrac{{500}}{8} \\
   = \,\,\,62.5\% \\
    \\
 \]
Now, we have to express this percentage in decimal format.
\[62.5\% = \,\dfrac{{62.5}}{{100}}\, = \,0.625\]
The denominator is 100. So, we can calculate the decimal value by shifting the decimal point two places to the left of its former position.
Hence, the percentage value of the fraction is 62.5% and the decimal value of the same fraction is 0.625.

Note:
We need to put the percentage (%) sign after multiplying the fraction with 100.Calculation of decimal value from percentage is easier as we just need to shift the decimal point two places to the left as the denominator remains 100. The decimal as well as the fractional value represent the same quantity.