Question

$\frac{2}{5}÷\frac{32}{5}=1:$

Answer 1

Flip the second fraction and then multiply the flipped second fraction by first fraction.

$\Rightarrow \frac{2}{5}÷\frac{32}{5}=\frac{2}{5}\times \frac{5}{32}=\frac{2\times 5}{5\times 32}$

Now, simply the resulting fraction
$\Rightarrow \frac{2\times 5}{5\times 32}=\frac{2\times 5}{5\times 2\times 2\times 2\times 2\times 2}$

Common factors of top and bottom of the fraction are 2 and 5.
Hence, we will cancel those.
$\Rightarrow \frac{2\times 5}{5\times 2\times 2\times 2\times 2\times 2}=\frac{1}{2\times 2\times 2\times 2}=\frac{1}{16}$

$\therefore \frac{2}{5}÷\frac{32}{5}=\frac{1}{16}$