What is 74/54 Divided By 4/9

Answer: 7454÷49\frac{74}{54}\div\frac{4}{9} = 3712\frac{37}{12}

Solving 7454÷49\frac{74}{54}\div\frac{4}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

7454÷49=7454×94\frac{74}{54} \div \frac{4}{9} = \frac{74}{54} \times \frac{9}{4}

  • Multiply the Numerators: 74×9=66674 \times 9 = 666
  • Multiply the Denominators: 54×4=21654 \times 4 = 216
  • Form the New Fraction: 7454×49=666216\frac{74}{54} \times \frac{4}{9} = \frac{666}{216}

Let's Simplify 666216\frac{666}{216}

  • Find the Greatest Common Divisor (GCD) of 666666 and 216216. The GCD of 666666 and 216216 is 1818.
  • Divide both the numerator and the denominator by the GCD:666÷18216÷18=3712\frac{666 \div 18}{216 \div 18} = \frac{37}{12}

Answer 7454÷49=3712\frac{74}{54}\div\frac{4}{9} = \frac{37}{12}


The following animation demonstrates the divide-by,

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