What is 57/24 Divided By 2/8

Answer: 5724÷28\frac{57}{24}\div\frac{2}{8} = 192\frac{19}{2}

Solving 5724÷28\frac{57}{24}\div\frac{2}{8}

  • Rewrite the Division as Multiplication by the Reciprocal:

5724÷28=5724×82\frac{57}{24} \div \frac{2}{8} = \frac{57}{24} \times \frac{8}{2}

  • Multiply the Numerators: 57×8=45657 \times 8 = 456
  • Multiply the Denominators: 24×2=4824 \times 2 = 48
  • Form the New Fraction: 5724×28=45648\frac{57}{24} \times \frac{2}{8} = \frac{456}{48}

Let's Simplify 45648\frac{456}{48}

  • Find the Greatest Common Divisor (GCD) of 456456 and 4848. The GCD of 456456 and 4848 is 2424.
  • Divide both the numerator and the denominator by the GCD:456÷2448÷24=192\frac{456 \div 24}{48 \div 24} = \frac{19}{2}

Answer 5724÷28=192\frac{57}{24}\div\frac{2}{8} = \frac{19}{2}


The following animation demonstrates the divide-by,

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