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Evaluate. (6)/(7)÷(1)/(6)=

Evaluate.\newline67÷16= \frac{6}{7} \div \frac{1}{6}=

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Full solution

Q. Evaluate.\newline67÷16= \frac{6}{7} \div \frac{1}{6}=
  1. Problem Understanding: Understand the problem.\newlineWe need to divide the fraction 67\frac{6}{7} by the fraction 16\frac{1}{6}.
  2. Rewriting Division as Multiplication: Rewrite the division of fractions as multiplication.\newlineTo divide by a fraction, we multiply by its reciprocal. The reciprocal of 16\frac{1}{6} is 61\frac{6}{1}. So, 67÷16\frac{6}{7} \div \frac{1}{6} is the same as 67×61\frac{6}{7} \times \frac{6}{1}.
  3. Performing the Multiplication: Perform the multiplication.\newlineNow we multiply the numerators and the denominators separately. (6×6)/(7×1)=36/7(6 \times 6) / (7 \times 1) = 36 / 7.
  4. Simplifying the Result: Simplify the result if possible. 367\frac{36}{7} cannot be simplified further, so this is the final answer.

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