What is 22/60 Divided By 4/9

Answer: 2260÷49\frac{22}{60}\div\frac{4}{9} = 3340\frac{33}{40}

Solving 2260÷49\frac{22}{60}\div\frac{4}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

2260÷49=2260×94\frac{22}{60} \div \frac{4}{9} = \frac{22}{60} \times \frac{9}{4}

  • Multiply the Numerators: 22×9=19822 \times 9 = 198
  • Multiply the Denominators: 60×4=24060 \times 4 = 240
  • Form the New Fraction: 2260×49=198240\frac{22}{60} \times \frac{4}{9} = \frac{198}{240}

Let's Simplify 198240\frac{198}{240}

  • Find the Greatest Common Divisor (GCD) of 198198 and 240240. The GCD of 198198 and 240240 is 66.
  • Divide both the numerator and the denominator by the GCD:198÷6240÷6=3340\frac{198 \div 6}{240 \div 6} = \frac{33}{40}

Answer 2260÷49=3340\frac{22}{60}\div\frac{4}{9} = \frac{33}{40}


The following animation demonstrates the divide-by,

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