Question

Mark (✓) against the correct answer
Which is larger out of $\frac{2}{-3}$ and $\frac{-4}{5}$?
(a) $\frac{2}{-3}$
(b) $\frac{-4}{5}$
(c) cannot be compared

Answer 1

$\begin{array}{l}\\ \mathrm{The}\mathrm{c}\text{orrect option is}\left(\text{a}\right).\\ \frac{2\times -1}{-3\times -1}=\frac{-2}{3}\\ \begin{array}{l}\text{L.C.M.}\text{}\text{of 3 and 5 is 15}\text{.}\\ \therefore \frac{-2\times 5}{3\times 5}=\frac{-10}{15}\text{and}\frac{-4\times 3}{5\times 3}=\frac{-12}{15}\\ \mathrm{Thus},\frac{2}{-3}\text{is greater than}\frac{-4}{5}.\end{array}\\ \end{array}$