What is 19/81 Divided By 6/9

Answer: 1981÷69\frac{19}{81}\div\frac{6}{9} = 1954\frac{19}{54}

Solving 1981÷69\frac{19}{81}\div\frac{6}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

1981÷69=1981×96\frac{19}{81} \div \frac{6}{9} = \frac{19}{81} \times \frac{9}{6}

  • Multiply the Numerators: 19×9=17119 \times 9 = 171
  • Multiply the Denominators: 81×6=48681 \times 6 = 486
  • Form the New Fraction: 1981×69=171486\frac{19}{81} \times \frac{6}{9} = \frac{171}{486}

Let's Simplify 171486\frac{171}{486}

  • Find the Greatest Common Divisor (GCD) of 171171 and 486486. The GCD of 171171 and 486486 is 99.
  • Divide both the numerator and the denominator by the GCD:171÷9486÷9=1954\frac{171 \div 9}{486 \div 9} = \frac{19}{54}

Answer 1981÷69=1954\frac{19}{81}\div\frac{6}{9} = \frac{19}{54}


The following animation demonstrates the divide-by,

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