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Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. (1)/(2)÷(9)/(7) Answer:

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.\newline12÷97 \frac{1}{2} \div \frac{9}{7} \newlineAnswer:

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Full solution

Q. Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.\newline12÷97 \frac{1}{2} \div \frac{9}{7} \newlineAnswer:
  1. Understand Division of Fractions: Understand the division of fractions.\newlineTo divide by a fraction, you multiply by its reciprocal.
  2. Find Reciprocal of Second Fraction: Find the reciprocal of the second fraction.\newlineThe reciprocal of (9)/(7)(9)/(7) is (7)/(9)(7)/(9).
  3. Multiply Fractions: Multiply the first fraction by the reciprocal of the second fraction.\newline(12)×(79)=(1×72×9)(\frac{1}{2}) \times (\frac{7}{9}) = (\frac{1\times7}{2\times9})
  4. Perform Multiplication: Perform the multiplication.\newline(1×7)/(2×9)=(7)/(18)(1\times7)/(2\times9) = (7)/(18)
  5. Reduce Fraction: Reduce the fraction if possible.\newlineThe fraction (7)/(18)(7)/(18) is already in its simplest form because 77 and 1818 have no common factors other than 11.

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