What is 61/45 Divided By 4/9

Answer: 6145÷49\frac{61}{45}\div\frac{4}{9} = 6120\frac{61}{20}

Solving 6145÷49\frac{61}{45}\div\frac{4}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

6145÷49=6145×94\frac{61}{45} \div \frac{4}{9} = \frac{61}{45} \times \frac{9}{4}

  • Multiply the Numerators: 61×9=54961 \times 9 = 549
  • Multiply the Denominators: 45×4=18045 \times 4 = 180
  • Form the New Fraction: 6145×49=549180\frac{61}{45} \times \frac{4}{9} = \frac{549}{180}

Let's Simplify 549180\frac{549}{180}

  • Find the Greatest Common Divisor (GCD) of 549549 and 180180. The GCD of 549549 and 180180 is 99.
  • Divide both the numerator and the denominator by the GCD:549÷9180÷9=6120\frac{549 \div 9}{180 \div 9} = \frac{61}{20}

Answer 6145÷49=6120\frac{61}{45}\div\frac{4}{9} = \frac{61}{20}


The following animation demonstrates the divide-by,

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