What is 22/45 Divided By 9/5

Answer: 2245÷95\frac{22}{45}\div\frac{9}{5} = 2281\frac{22}{81}

Solving 2245÷95\frac{22}{45}\div\frac{9}{5}

  • Rewrite the Division as Multiplication by the Reciprocal:

2245÷95=2245×59\frac{22}{45} \div \frac{9}{5} = \frac{22}{45} \times \frac{5}{9}

  • Multiply the Numerators: 22×5=11022 \times 5 = 110
  • Multiply the Denominators: 45×9=40545 \times 9 = 405
  • Form the New Fraction: 2245×95=110405\frac{22}{45} \times \frac{9}{5} = \frac{110}{405}

Let's Simplify 110405\frac{110}{405}

  • Find the Greatest Common Divisor (GCD) of 110110 and 405405. The GCD of 110110 and 405405 is 55.
  • Divide both the numerator and the denominator by the GCD:110÷5405÷5=2281\frac{110 \div 5}{405 \div 5} = \frac{22}{81}

Answer 2245÷95=2281\frac{22}{45}\div\frac{9}{5} = \frac{22}{81}


The following animation demonstrates the divide-by,

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