What is 11/72 Divided By 8/9

Answer: 1172÷89\frac{11}{72}\div\frac{8}{9} = 1164\frac{11}{64}

Solving 1172÷89\frac{11}{72}\div\frac{8}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

1172÷89=1172×98\frac{11}{72} \div \frac{8}{9} = \frac{11}{72} \times \frac{9}{8}

  • Multiply the Numerators: 11×9=9911 \times 9 = 99
  • Multiply the Denominators: 72×8=57672 \times 8 = 576
  • Form the New Fraction: 1172×89=99576\frac{11}{72} \times \frac{8}{9} = \frac{99}{576}

Let's Simplify 99576\frac{99}{576}

  • Find the Greatest Common Divisor (GCD) of 9999 and 576576. The GCD of 9999 and 576576 is 99.
  • Divide both the numerator and the denominator by the GCD:99÷9576÷9=1164\frac{99 \div 9}{576 \div 9} = \frac{11}{64}

Answer 1172÷89=1164\frac{11}{72}\div\frac{8}{9} = \frac{11}{64}


The following animation demonstrates the divide-by,

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