What is 12/24 Divided By 9/8

Answer: 1224÷98\frac{12}{24}\div\frac{9}{8} = 49\frac{4}{9}

Solving 1224÷98\frac{12}{24}\div\frac{9}{8}

  • Rewrite the Division as Multiplication by the Reciprocal:

1224÷98=1224×89\frac{12}{24} \div \frac{9}{8} = \frac{12}{24} \times \frac{8}{9}

  • Multiply the Numerators: 12×8=9612 \times 8 = 96
  • Multiply the Denominators: 24×9=21624 \times 9 = 216
  • Form the New Fraction: 1224×98=96216\frac{12}{24} \times \frac{9}{8} = \frac{96}{216}

Let's Simplify 96216\frac{96}{216}

  • Find the Greatest Common Divisor (GCD) of 9696 and 216216. The GCD of 9696 and 216216 is 2424.
  • Divide both the numerator and the denominator by the GCD:96÷24216÷24=49\frac{96 \div 24}{216 \div 24} = \frac{4}{9}

Answer 1224÷98=49\frac{12}{24}\div\frac{9}{8} = \frac{4}{9}


The following animation demonstrates the divide-by,

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