What is 19/60 Divided By 4/9

Answer: 1960÷49\frac{19}{60}\div\frac{4}{9} = 5780\frac{57}{80}

Solving 1960÷49\frac{19}{60}\div\frac{4}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

1960÷49=1960×94\frac{19}{60} \div \frac{4}{9} = \frac{19}{60} \times \frac{9}{4}

  • Multiply the Numerators: 19×9=17119 \times 9 = 171
  • Multiply the Denominators: 60×4=24060 \times 4 = 240
  • Form the New Fraction: 1960×49=171240\frac{19}{60} \times \frac{4}{9} = \frac{171}{240}

Let's Simplify 171240\frac{171}{240}

  • Find the Greatest Common Divisor (GCD) of 171171 and 240240. The GCD of 171171 and 240240 is 33.
  • Divide both the numerator and the denominator by the GCD:171÷3240÷3=5780\frac{171 \div 3}{240 \div 3} = \frac{57}{80}

Answer 1960÷49=5780\frac{19}{60}\div\frac{4}{9} = \frac{57}{80}


The following animation demonstrates the divide-by,

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