What is 27/45 Divided By 5/7

Answer: 2745÷57\frac{27}{45}\div\frac{5}{7} = 2125\frac{21}{25}

Solving 2745÷57\frac{27}{45}\div\frac{5}{7}

  • Rewrite the Division as Multiplication by the Reciprocal:

2745÷57=2745×75\frac{27}{45} \div \frac{5}{7} = \frac{27}{45} \times \frac{7}{5}

  • Multiply the Numerators: 27×7=18927 \times 7 = 189
  • Multiply the Denominators: 45×5=22545 \times 5 = 225
  • Form the New Fraction: 2745×57=189225\frac{27}{45} \times \frac{5}{7} = \frac{189}{225}

Let's Simplify 189225\frac{189}{225}

  • Find the Greatest Common Divisor (GCD) of 189189 and 225225. The GCD of 189189 and 225225 is 99.
  • Divide both the numerator and the denominator by the GCD:189÷9225÷9=2125\frac{189 \div 9}{225 \div 9} = \frac{21}{25}

Answer 2745÷57=2125\frac{27}{45}\div\frac{5}{7} = \frac{21}{25}


The following animation demonstrates the divide-by,

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