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What’s the Error? A student said that the ratios 3/4 and 9/16 were proportional. What error did the student make?

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Two ratios a:b and c:d are said to be proportional, if a/b = c/d or ad = bc.

But in the given ratios 3/4 and 9/16, 3 x 16 ≠ 4 x 9.

Hence, the ratios are not proportional. To make a ratio proportional to another ratio, we just simply multiply both numerator and denominator by same number.

In our given case, student had multiply numerator by 3 and denominator by 4, which is incorrect.

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