Question

Fill in the blanks to make the statement true: $18\frac{3}{4}\%=\_\_\_:\hspace{0.17em}\_\_\_$

• A. $3$
• B. $16$

Answer 1

Convert the given percentage into ratio.

As we have $18\frac{3}{4}\%$

So, To convert percent into ratio or simplest form remove $\%$ and multiply it by $\frac{1}{100}$

Therefore,

$\begin{array}{rcl}18\frac{3}{4}\%& =& 18\frac{3}{4}\times \frac{1}{100}\\ & =& \frac{(18\times 4)+3}{4}\times \frac{1}{100}\\ & =& \frac{75}{4}\times \frac{1}{100}\\ & =& \frac{25\times 3}{4\times 25\times 4}\\ & =& \frac{3}{16}\\ & =& 3:16\end{array}$

Hence $18\frac{3}{4}\%=\underline{3:16}$