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Question
Fill in the box with the correct symbol out of >, <, and =.
`(-7)/8 square14/(-16)`
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Solution
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)`
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