Question

Convert the following into percentages and compare.

$\frac{27}{50},\frac{12}{2}$

Answer 1

Multiply the given fraction by $100$ and put the $\%$ sign.

Step 1: Convert $\frac{27}{50}$ in percentage

$$\begin{gathered} \frac{27}{50},\mathrm{multiplying}\mathrm{by}100\mathrm{for}\mathrm{converting}\mathrm{it}\mathrm{into}\mathrm{percentage} \\ =\frac{27}{50}\times 100 \\ =27\times 2 \\ =54\% \end{gathered}$$

Step 2: Convert $\frac{12}{2}$ in percentage

$$\begin{gathered} \frac{12}{2},\mathrm{multiplying}\mathrm{by}100\mathrm{for}\mathrm{converting}\mathrm{it}\mathrm{into}\mathrm{percentage} \\ =\frac{12}{2}\times 100 \\ =6\times 100 \\ =600\% \end{gathered}$$

Step 3: Compare $54\%\mathrm{and}600\%$

For comparison use ⦂ this symbol

$54:600$divide numerator and denominator by $2$

$=27:300$divide numerator and denominator by $3$

$=9:100$

Hence, $\frac{27}{50},\frac{12}{8}$ their percentages are $54\%\mathrm{and}600\%$ respectively and their ratio is $9:100$.