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Solve for pp.\newlinep57=56p \cdot \frac{5}{7} = \frac{5}{6}\newlineWrite your answer as a fraction or as a whole or mixed number.\newlinep=p = _____

Full solution

Q. Solve for pp.\newlinep57=56p \cdot \frac{5}{7} = \frac{5}{6}\newlineWrite your answer as a fraction or as a whole or mixed number.\newlinep=p = _____
  1. Divide by 57\frac{5}{7}: Isolate pp by dividing both sides by 57\frac{5}{7}.\newlinep=5657p = \frac{\frac{5}{6}}{\frac{5}{7}}
  2. Simplify with reciprocal: Simplify the division of fractions by multiplying by the reciprocal. p=56×75p = \frac{5}{6} \times \frac{7}{5}
  3. Multiply numerators and denominators: Multiply the numerators and the denominators.\newlinep=5×76×5p = \frac{5 \times 7}{6 \times 5}
  4. Simplify fraction: Simplify the fraction. p=3530p = \frac{35}{30}
  5. Reduce fraction: Reduce the fraction by dividing both numerator and denominator by their greatest common divisor, which is 55. \newlinep=76p = \frac{7}{6}