Question

Which is greater between $\frac{-4}{9}$ and $\frac{-5}{12}$?
(a) $\frac{-4}{9}$
(b) $\frac{-5}{12}$
(c) both are equal

Answer 1

The correct option is (b).
$$\begin{gathered} \begin{array}{l}\\ \frac{-5}{12}\text{is greater than}\frac{-4}{9}\text{.}\end{array} \\ \begin{array}{l}\text{L}\text{.C}\text{.M}\text{. of 9 and 12 is 36.}\\ \frac{-5\times 3}{12\times 3}=\frac{-15}{36}\\ \frac{-4\times 4}{12\times 4}=\frac{-16}{36}\\ (-15)>(-16)\\ \frac{-5}{12}>\frac{-4}{9}\end{array} \end{gathered}$$