Which of the numbers $\frac{3}{-4}, \frac{-5}{6}$ is greater?

To do: Find which of the following number is greater.

$\frac{3}{-4} = \frac{-3}{4}; \frac{-5}{6}$  Taking the LCM of the denominators

LCM of 4 and 6 is 12

So $4\frac{-3}{4} = -\frac{3\times3}{4\times3} = \frac{-9}{12}$

$\frac{-5}{6} = -\frac{5\times2}{6\times2} = -\frac{10}{12}$

Of the two numbers $\frac{-9}{12}$ and $\frac{-10}{12}$, the greater number is $\frac{-9}{10}$