What is 99/72 Divided By 4/9

Answer: 9972÷49\frac{99}{72}\div\frac{4}{9} = 9932\frac{99}{32}

Solving 9972÷49\frac{99}{72}\div\frac{4}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

9972÷49=9972×94\frac{99}{72} \div \frac{4}{9} = \frac{99}{72} \times \frac{9}{4}

  • Multiply the Numerators: 99×9=89199 \times 9 = 891
  • Multiply the Denominators: 72×4=28872 \times 4 = 288
  • Form the New Fraction: 9972×49=891288\frac{99}{72} \times \frac{4}{9} = \frac{891}{288}

Let's Simplify 891288\frac{891}{288}

  • Find the Greatest Common Divisor (GCD) of 891891 and 288288. The GCD of 891891 and 288288 is 99.
  • Divide both the numerator and the denominator by the GCD:891÷9288÷9=9932\frac{891 \div 9}{288 \div 9} = \frac{99}{32}

Answer 9972÷49=9932\frac{99}{72}\div\frac{4}{9} = \frac{99}{32}


The following animation demonstrates the divide-by,

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