What is 17/75 Divided By 6/9

Answer: 1775÷69\frac{17}{75}\div\frac{6}{9} = 1750\frac{17}{50}

Solving 1775÷69\frac{17}{75}\div\frac{6}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

1775÷69=1775×96\frac{17}{75} \div \frac{6}{9} = \frac{17}{75} \times \frac{9}{6}

  • Multiply the Numerators: 17×9=15317 \times 9 = 153
  • Multiply the Denominators: 75×6=45075 \times 6 = 450
  • Form the New Fraction: 1775×69=153450\frac{17}{75} \times \frac{6}{9} = \frac{153}{450}

Let's Simplify 153450\frac{153}{450}

  • Find the Greatest Common Divisor (GCD) of 153153 and 450450. The GCD of 153153 and 450450 is 99.
  • Divide both the numerator and the denominator by the GCD:153÷9450÷9=1750\frac{153 \div 9}{450 \div 9} = \frac{17}{50}

Answer 1775÷69=1750\frac{17}{75}\div\frac{6}{9} = \frac{17}{50}


The following animation demonstrates the divide-by,

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