What is 60/24 Divided By 9/4

Answer: 6024÷94\frac{60}{24}\div\frac{9}{4} = 109\frac{10}{9}

Solving 6024÷94\frac{60}{24}\div\frac{9}{4}

  • Rewrite the Division as Multiplication by the Reciprocal:

6024÷94=6024×49\frac{60}{24} \div \frac{9}{4} = \frac{60}{24} \times \frac{4}{9}

  • Multiply the Numerators: 60×4=24060 \times 4 = 240
  • Multiply the Denominators: 24×9=21624 \times 9 = 216
  • Form the New Fraction: 6024×94=240216\frac{60}{24} \times \frac{9}{4} = \frac{240}{216}

Let's Simplify 240216\frac{240}{216}

  • Find the Greatest Common Divisor (GCD) of 240240 and 216216. The GCD of 240240 and 216216 is 2424.
  • Divide both the numerator and the denominator by the GCD:240÷24216÷24=109\frac{240 \div 24}{216 \div 24} = \frac{10}{9}

Answer 6024÷94=109\frac{60}{24}\div\frac{9}{4} = \frac{10}{9}


The following animation demonstrates the divide-by,

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