What is 61/60 Divided By 2/9

Answer: 6160÷29\frac{61}{60}\div\frac{2}{9} = 18340\frac{183}{40}

Solving 6160÷29\frac{61}{60}\div\frac{2}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

6160÷29=6160×92\frac{61}{60} \div \frac{2}{9} = \frac{61}{60} \times \frac{9}{2}

  • Multiply the Numerators: 61×9=54961 \times 9 = 549
  • Multiply the Denominators: 60×2=12060 \times 2 = 120
  • Form the New Fraction: 6160×29=549120\frac{61}{60} \times \frac{2}{9} = \frac{549}{120}

Let's Simplify 549120\frac{549}{120}

  • Find the Greatest Common Divisor (GCD) of 549549 and 120120. The GCD of 549549 and 120120 is 33.
  • Divide both the numerator and the denominator by the GCD:549÷3120÷3=18340\frac{549 \div 3}{120 \div 3} = \frac{183}{40}

Answer 6160÷29=18340\frac{61}{60}\div\frac{2}{9} = \frac{183}{40}


The following animation demonstrates the divide-by,

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