Question

By what number should $\frac{-55}{18}$ be divided to get $\frac{-22}{9}$?

Answer 1

Let the number be $x$

$\frac{-55}{18}÷x=\frac{-22}{9}$

$\Rightarrow \frac{-55}{18}\times \frac{1}{x}=\frac{-22}{9}$

$\Rightarrow \frac{-55}{18x}=\frac{-22}{9}$

On cross multiplication we get,

$\Rightarrow -55\times 9=-22\times 18x$

$\Rightarrow \frac{-55\times 9}{-22\times 18}=x$

$\Rightarrow x=\frac{5\times 1}{2\times 2}$

$\therefore x=\frac{5}{4}=1\frac{1}{4}$