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Question

Compare the fractions given below:
$$7/11, 6/7$$

Solution
Verified by Toppr

Given fractions are $$7/11$$ and $$6/7$$
(Refer image)
LCM of $$11$$ and $$7=(11\times7)=77$$
Now convert each one of $$7/11$$ and $$6/7$$ into an equivalent fraction having $$77$$ as denominator
$$7/11 = (7\times7)/(11\times7)=49/77$$
$$6/7 = (6\times11)/(7\times11)=66/77$$
Clearly it shows $$49/77 < 66/77$$
Hence, $$7/11 < 6/7$$

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