What is 83/45 Divided By 4/9

Answer: 8345÷49\frac{83}{45}\div\frac{4}{9} = 8320\frac{83}{20}

Solving 8345÷49\frac{83}{45}\div\frac{4}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

8345÷49=8345×94\frac{83}{45} \div \frac{4}{9} = \frac{83}{45} \times \frac{9}{4}

  • Multiply the Numerators: 83×9=74783 \times 9 = 747
  • Multiply the Denominators: 45×4=18045 \times 4 = 180
  • Form the New Fraction: 8345×49=747180\frac{83}{45} \times \frac{4}{9} = \frac{747}{180}

Let's Simplify 747180\frac{747}{180}

  • Find the Greatest Common Divisor (GCD) of 747747 and 180180. The GCD of 747747 and 180180 is 99.
  • Divide both the numerator and the denominator by the GCD:747÷9180÷9=8320\frac{747 \div 9}{180 \div 9} = \frac{83}{20}

Answer 8345÷49=8320\frac{83}{45}\div\frac{4}{9} = \frac{83}{20}


The following animation demonstrates the divide-by,

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