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Question
Compare the following number.
`(-7)/11, (-3)/4`
Solution
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
∴ \[\frac{28}{44}<\frac{33}{44}\]
∴ \[-\frac{28}{44}>-\frac{33}{44}\]
∴ \[-\frac7{11}>-\frac34\]
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