What is 89/75 Divided By 5/6

Answer: 8975÷56\frac{89}{75}\div\frac{5}{6} = 178125\frac{178}{125}

Solving 8975÷56\frac{89}{75}\div\frac{5}{6}

  • Rewrite the Division as Multiplication by the Reciprocal:

8975÷56=8975×65\frac{89}{75} \div \frac{5}{6} = \frac{89}{75} \times \frac{6}{5}

  • Multiply the Numerators: 89×6=53489 \times 6 = 534
  • Multiply the Denominators: 75×5=37575 \times 5 = 375
  • Form the New Fraction: 8975×56=534375\frac{89}{75} \times \frac{5}{6} = \frac{534}{375}

Let's Simplify 534375\frac{534}{375}

  • Find the Greatest Common Divisor (GCD) of 534534 and 375375. The GCD of 534534 and 375375 is 33.
  • Divide both the numerator and the denominator by the GCD:534÷3375÷3=178125\frac{534 \div 3}{375 \div 3} = \frac{178}{125}

Answer 8975÷56=178125\frac{89}{75}\div\frac{5}{6} = \frac{178}{125}


The following animation demonstrates the divide-by,

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