What is 70/81 Divided By 4/9

Answer: 7081÷49\frac{70}{81}\div\frac{4}{9} = 3518\frac{35}{18}

Solving 7081÷49\frac{70}{81}\div\frac{4}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

7081÷49=7081×94\frac{70}{81} \div \frac{4}{9} = \frac{70}{81} \times \frac{9}{4}

  • Multiply the Numerators: 70×9=63070 \times 9 = 630
  • Multiply the Denominators: 81×4=32481 \times 4 = 324
  • Form the New Fraction: 7081×49=630324\frac{70}{81} \times \frac{4}{9} = \frac{630}{324}

Let's Simplify 630324\frac{630}{324}

  • Find the Greatest Common Divisor (GCD) of 630630 and 324324. The GCD of 630630 and 324324 is 1818.
  • Divide both the numerator and the denominator by the GCD:630÷18324÷18=3518\frac{630 \div 18}{324 \div 18} = \frac{35}{18}

Answer 7081÷49=3518\frac{70}{81}\div\frac{4}{9} = \frac{35}{18}


The following animation demonstrates the divide-by,

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