What is 57/81 Divided By 1/9

Answer: 5781÷19\frac{57}{81}\div\frac{1}{9} = 193\frac{19}{3}

Solving 5781÷19\frac{57}{81}\div\frac{1}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

5781÷19=5781×91\frac{57}{81} \div \frac{1}{9} = \frac{57}{81} \times \frac{9}{1}

  • Multiply the Numerators: 57×9=51357 \times 9 = 513
  • Multiply the Denominators: 81×1=8181 \times 1 = 81
  • Form the New Fraction: 5781×19=51381\frac{57}{81} \times \frac{1}{9} = \frac{513}{81}

Let's Simplify 51381\frac{513}{81}

  • Find the Greatest Common Divisor (GCD) of 513513 and 8181. The GCD of 513513 and 8181 is 2727.
  • Divide both the numerator and the denominator by the GCD:513÷2781÷27=193\frac{513 \div 27}{81 \div 27} = \frac{19}{3}

Answer 5781÷19=193\frac{57}{81}\div\frac{1}{9} = \frac{19}{3}


The following animation demonstrates the divide-by,

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