What is 72/17 Divided By 9/8

Answer: 7217÷98\frac{72}{17}\div\frac{9}{8} = 6417\frac{64}{17}

Solving 7217÷98\frac{72}{17}\div\frac{9}{8}

  • Rewrite the Division as Multiplication by the Reciprocal:

7217÷98=7217×89\frac{72}{17} \div \frac{9}{8} = \frac{72}{17} \times \frac{8}{9}

  • Multiply the Numerators: 72×8=57672 \times 8 = 576
  • Multiply the Denominators: 17×9=15317 \times 9 = 153
  • Form the New Fraction: 7217×98=576153\frac{72}{17} \times \frac{9}{8} = \frac{576}{153}

Let's Simplify 576153\frac{576}{153}

  • Find the Greatest Common Divisor (GCD) of 576576 and 153153. The GCD of 576576 and 153153 is 99.
  • Divide both the numerator and the denominator by the GCD:576÷9153÷9=6417\frac{576 \div 9}{153 \div 9} = \frac{64}{17}

Answer 7217÷98=6417\frac{72}{17}\div\frac{9}{8} = \frac{64}{17}


The following animation demonstrates the divide-by,

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