Question

Mark (✓) against the correct answer
Which is smaller out of $\frac{5}{-6}\mathrm{and}\frac{-7}{12}$?
(a) $\frac{5}{-6}$
(b) $\frac{-7}{12}$
(c) cannot be compared

Answer 1

$\begin{array}{l}\\ \mathrm{The}\mathrm{c}\text{orrect option is}\left(\text{a}\right).\\ \frac{5\times -1}{-6\times -1}=\frac{-5}{6}\\ \\ \text{L.C.M.}\text{of 6 and 12 is 12}\text{.}\\ \begin{array}{l}\therefore \frac{-5\times 2}{6\times 2}=\frac{-10}{12}\text{and}\frac{-7\times 1}{12\times 1}=\frac{-7}{12}\\ \mathrm{Hence},\frac{5}{-6}\text{is smaller than}\frac{-7}{12}\text{.}\end{array}\end{array}$