Question

Find $16\frac{2}{3}\%$ of $1day$ in $hours$.

Answer 1

Step 1: Converting values into required unit, i.e., day into hours.

Using relation $1day=24hours$.

Step 2: Finding the percentage.

Converting mixed fraction into improper fraction.

$\Rightarrow 16\frac{2}{3}=\frac{\left(16\times 3\right)+2}{3}=\frac{50}{3}$

Now,

$\Rightarrow 16\frac{2}{3}\%$ of $1day$

$$\begin{gathered} \Rightarrow \frac{50}{3\times 100}\times 24hrs=\frac{\cancel{50}1}{3\times \cancel{100}2}\times 24 \\ \Rightarrow \frac{24}{3\times 2}=\frac{24}{6}=4hrs \end{gathered}$$

Hence, $16\frac{2}{3}\%$ of $1day$ in $hours$ is $4hrs$.