Question
Which of the following forms a pair of equivalent rational numbers?
Answer: Option B
:
B
When we have to compare two rational numbers, we first make their denominators equal and then comparetheir numerators.
Consider2440 and 3550. LCM of 40 and 50 is 200.
⟹(24×5)(40×5)=120200
and (35×4)(50×4)=140200≠120200.
Thus,2440 and 3550 are not equivalent.
Considering−2535 and 55−77, LCM of 35 and 77 is 385.
⟹(−25×11)(35×11)=−275385
and (55×5)(−77×5)=−275385.
Thus,−2535 and 55−77 are equivalent rational numbers.
Similarly, on checking the remaining options we find that−2535 and 55−77 is the only pair of equivalent rational numbers.
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:
B
When we have to compare two rational numbers, we first make their denominators equal and then comparetheir numerators.
Consider2440 and 3550. LCM of 40 and 50 is 200.
⟹(24×5)(40×5)=120200
and (35×4)(50×4)=140200≠120200.
Thus,2440 and 3550 are not equivalent.
Considering−2535 and 55−77, LCM of 35 and 77 is 385.
⟹(−25×11)(35×11)=−275385
and (55×5)(−77×5)=−275385.
Thus,−2535 and 55−77 are equivalent rational numbers.
Similarly, on checking the remaining options we find that−2535 and 55−77 is the only pair of equivalent rational numbers.
Was this answer helpful ?
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