What is 35/46 Divided By 6/9

Answer: 3546÷69\frac{35}{46}\div\frac{6}{9} = 10592\frac{105}{92}

Solving 3546÷69\frac{35}{46}\div\frac{6}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

3546÷69=3546×96\frac{35}{46} \div \frac{6}{9} = \frac{35}{46} \times \frac{9}{6}

  • Multiply the Numerators: 35×9=31535 \times 9 = 315
  • Multiply the Denominators: 46×6=27646 \times 6 = 276
  • Form the New Fraction: 3546×69=315276\frac{35}{46} \times \frac{6}{9} = \frac{315}{276}

Let's Simplify 315276\frac{315}{276}

  • Find the Greatest Common Divisor (GCD) of 315315 and 276276. The GCD of 315315 and 276276 is 33.
  • Divide both the numerator and the denominator by the GCD:315÷3276÷3=10592\frac{315 \div 3}{276 \div 3} = \frac{105}{92}

Answer 3546÷69=10592\frac{35}{46}\div\frac{6}{9} = \frac{105}{92}


The following animation demonstrates the divide-by,

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