Question

Put $<\text{or}>$ in box
$20÷\frac{4}{5}\left(\right)16÷\frac{1}{2}$

Answer 1

Given : LHS = $20÷\frac{4}{5}$and RHS = $16÷\frac{1}{2}$

Considering LHS;

$$\begin{gathered} 20÷\frac{4}{5}={}^5\cancel{20}\times \frac{5}{\cancel{4}} \\ =5\times 5 \\ =25 \end{gathered}$$

And, RHS;

$$\begin{gathered} 16÷\frac{1}{2}=16\times \frac{2}{1} \\ =32 \end{gathered}$$

Here, $25<32$

So, LHS $<$ RHS

Hence, $20÷\frac{4}{5}\boxed{<}16÷\frac{1}{2}$