Question

How do you convert $87.5\%$ as a fraction and a decimal?

Answer 1

Step 1: Convert $87.5\%$ to fraction:

Percentage to fraction:

Remove the percentage $\%$ by dividing the value by $100$.

simplify the fraction having 100 in the denominator into a simple fraction.

$\begin{array}{rcl}87.5\%& =& \frac{87.5}{100}\\ & =& \frac{875}{1000}\\ & =& \frac{35}{40}\\ & =& \frac{7}{8}\end{array}$

Step 2: Convert $87.5\%$ to decimal:

Percentage to decimal:

Remove the percentage $\%$ by dividing the value by $100$.

Simplify the fraction having 100 in the denominator into an exact value(in the form of the decimal).

$\begin{array}{rcl}87.5\%& =& \frac{87.5}{100}\\ & =& 0.875[1\%=0.01]\end{array}$

Hence, fraction and decimal form of $87.5\%$ is $\frac{7}{8}$ and $0.875$ respectively.