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Gopal was asked to find 7/9 of a fraction. But he made a mistake of dividing the given fraction by 7/9 and got an answer which exceeded the correct answer by 8/21. The correct answer is?

Correct Answer: 7/12

Explanation:

∵ Let the fraction = N
∵ (9 x N)/7 - (7 x N)/9 = 8/21
⇒ (32 x N)/63 = 8/21
⇒ N = (8/21) x (63/32) = 3/4
∴ Correct answer = N x 7/9 = 7/9 x 3/4 = 7/12


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