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Perform the operation and simplify the answer fully.

(1)/(2)÷(5)/(6)
Answer:

Perform the operation and simplify the answer fully.\newline12÷56 \frac{1}{2} \div \frac{5}{6} \newlineAnswer:

Full solution

Q. Perform the operation and simplify the answer fully.\newline12÷56 \frac{1}{2} \div \frac{5}{6} \newlineAnswer:
  1. Identify Division Problem: Identify the division problem and rewrite it as multiplication by the reciprocal of the second fraction.\newline(12)÷(56)(\frac{1}{2}) \div (\frac{5}{6}) is the same as (12)×(65)(\frac{1}{2}) \times (\frac{6}{5}).
  2. Multiply Numerators and Denominators: Multiply the numerators together and the denominators together.\newline(1×6)/(2×5)=6/10(1 \times 6) / (2 \times 5) = 6 / 10.
  3. Simplify Fraction: Simplify the fraction by finding the greatest common divisor of the numerator and the denominator and dividing both by it.\newlineThe greatest common divisor of 66 and 1010 is 22.\newline6/10÷2/2=(6÷2)/(10÷2)=3/56 / 10 \div 2/2 = (6 \div 2) / (10 \div 2) = 3 / 5.

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