Question

Compare the following number.

`(-7)/11, (-3)/4`

Answer 1

Let us first compare `-7/11 and -3/4`.

Here, the denominators of the given numbers are not the same.

LCM of 11 and 4 = 44

\[-\frac7{11}=-\frac{7\times4}{11\times4}=-\frac{28}{44}\]

\[-\frac34=-\frac{3\times11}{4\times11}=-\frac{33}{44}\]

Since 28 < 33

∴ \[\frac{28}{44}<\frac{33}{44}\]

∴ \[-\frac{28}{44}>-\frac{33}{44}\]

∴ \[-\frac7{11}>-\frac34\]