What is 11/85 Divided By 9/6

Answer: 1185÷96\frac{11}{85}\div\frac{9}{6} = 22255\frac{22}{255}

Solving 1185÷96\frac{11}{85}\div\frac{9}{6}

  • Rewrite the Division as Multiplication by the Reciprocal:

1185÷96=1185×69\frac{11}{85} \div \frac{9}{6} = \frac{11}{85} \times \frac{6}{9}

  • Multiply the Numerators: 11×6=6611 \times 6 = 66
  • Multiply the Denominators: 85×9=76585 \times 9 = 765
  • Form the New Fraction: 1185×96=66765\frac{11}{85} \times \frac{9}{6} = \frac{66}{765}

Let's Simplify 66765\frac{66}{765}

  • Find the Greatest Common Divisor (GCD) of 6666 and 765765. The GCD of 6666 and 765765 is 33.
  • Divide both the numerator and the denominator by the GCD:66÷3765÷3=22255\frac{66 \div 3}{765 \div 3} = \frac{22}{255}

Answer 1185÷96=22255\frac{11}{85}\div\frac{9}{6} = \frac{22}{255}


The following animation demonstrates the divide-by,

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