What is 22/81 Divided By 6/7

Answer: 2281÷67\frac{22}{81}\div\frac{6}{7} = 77243\frac{77}{243}

Solving 2281÷67\frac{22}{81}\div\frac{6}{7}

  • Rewrite the Division as Multiplication by the Reciprocal:

2281÷67=2281×76\frac{22}{81} \div \frac{6}{7} = \frac{22}{81} \times \frac{7}{6}

  • Multiply the Numerators: 22×7=15422 \times 7 = 154
  • Multiply the Denominators: 81×6=48681 \times 6 = 486
  • Form the New Fraction: 2281×67=154486\frac{22}{81} \times \frac{6}{7} = \frac{154}{486}

Let's Simplify 154486\frac{154}{486}

  • Find the Greatest Common Divisor (GCD) of 154154 and 486486. The GCD of 154154 and 486486 is 22.
  • Divide both the numerator and the denominator by the GCD:154÷2486÷2=77243\frac{154 \div 2}{486 \div 2} = \frac{77}{243}

Answer 2281÷67=77243\frac{22}{81}\div\frac{6}{7} = \frac{77}{243}


The following animation demonstrates the divide-by,

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