What is 11/17 Divided By 9/6

Answer: 1117÷96\frac{11}{17}\div\frac{9}{6} = 2251\frac{22}{51}

Solving 1117÷96\frac{11}{17}\div\frac{9}{6}

  • Rewrite the Division as Multiplication by the Reciprocal:

1117÷96=1117×69\frac{11}{17} \div \frac{9}{6} = \frac{11}{17} \times \frac{6}{9}

  • Multiply the Numerators: 11×6=6611 \times 6 = 66
  • Multiply the Denominators: 17×9=15317 \times 9 = 153
  • Form the New Fraction: 1117×96=66153\frac{11}{17} \times \frac{9}{6} = \frac{66}{153}

Let's Simplify 66153\frac{66}{153}

  • Find the Greatest Common Divisor (GCD) of 6666 and 153153. The GCD of 6666 and 153153 is 33.
  • Divide both the numerator and the denominator by the GCD:66÷3153÷3=2251\frac{66 \div 3}{153 \div 3} = \frac{22}{51}

Answer 1117÷96=2251\frac{11}{17}\div\frac{9}{6} = \frac{22}{51}


The following animation demonstrates the divide-by,

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