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Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.

(3)/(4)÷-(9)/(7)
Answer:

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.\newline34÷97 \frac{3}{4} \div-\frac{9}{7} \newlineAnswer:

Full solution

Q. Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.\newline34÷97 \frac{3}{4} \div-\frac{9}{7} \newlineAnswer:
  1. Convert to multiplication: Convert the division of fractions to multiplication by the reciprocal.\newlineTo divide by a fraction, you multiply by its reciprocal. The reciprocal of 97-\frac{9}{7} is 79-\frac{7}{9}.\newlineSo, 34\frac{3}{4} ÷\div 97-\frac{9}{7} becomes 34\frac{3}{4} * 79-\frac{7}{9}.
  2. Multiply numerators and denominators: Multiply the numerators and the denominators.\newlineNow, multiply the numerators (3×7)(3 \times -7) and the denominators (4×9)(4 \times 9).\newlineThis gives us (3×7)/(4×9)=21/36(3 \times -7) / (4 \times 9) = -21 / 36.
  3. Simplify the fraction: Simplify the fraction.\newlineTo simplify the fraction, we look for the greatest common divisor (GCD) of the numerator and the denominator.\newlineThe GCD of 2121 and 3636 is 33.\newlineDivide both the numerator and the denominator by 33 to simplify the fraction.\newline2136÷33=712-\frac{21}{36} \div \frac{3}{3} = -\frac{7}{12}.

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