What is 66/53 Divided By 4/9

Answer: 6653÷49\frac{66}{53}\div\frac{4}{9} = 297106\frac{297}{106}

Solving 6653÷49\frac{66}{53}\div\frac{4}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

6653÷49=6653×94\frac{66}{53} \div \frac{4}{9} = \frac{66}{53} \times \frac{9}{4}

  • Multiply the Numerators: 66×9=59466 \times 9 = 594
  • Multiply the Denominators: 53×4=21253 \times 4 = 212
  • Form the New Fraction: 6653×49=594212\frac{66}{53} \times \frac{4}{9} = \frac{594}{212}

Let's Simplify 594212\frac{594}{212}

  • Find the Greatest Common Divisor (GCD) of 594594 and 212212. The GCD of 594594 and 212212 is 22.
  • Divide both the numerator and the denominator by the GCD:594÷2212÷2=297106\frac{594 \div 2}{212 \div 2} = \frac{297}{106}

Answer 6653÷49=297106\frac{66}{53}\div\frac{4}{9} = \frac{297}{106}


The following animation demonstrates the divide-by,

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