Question

Fill in the box with the correct symbol out of >, <, and =.

`(-7)/8 square14/(-16)`

Answer 1

The given rational numbers are, `(-7)/8` `14/(-16)`

LCM of denominators 8 and 16 of both the rational numbers = 16

Thus, to make the denominator of the given rational numbers equal to their LCM = 16, multiplying their numerator and denominator by a particular number

Hence the given rational number

`(7xx2)/(8xx2)  "and"  (14 xx 1)/(-16 xx 1) = (-7)/8`

= `(- 14)/16  "and"  14/(- 16)`

Clearly, both rational numbers are equal.

Thus, `(- 7)/8 bb= 14/(-16)`