What is 27/45 Divided By 2/3

Answer: 2745÷23\frac{27}{45}\div\frac{2}{3} = 910\frac{9}{10}

Solving 2745÷23\frac{27}{45}\div\frac{2}{3}

  • Rewrite the Division as Multiplication by the Reciprocal:

2745÷23=2745×32\frac{27}{45} \div \frac{2}{3} = \frac{27}{45} \times \frac{3}{2}

  • Multiply the Numerators: 27×3=8127 \times 3 = 81
  • Multiply the Denominators: 45×2=9045 \times 2 = 90
  • Form the New Fraction: 2745×23=8190\frac{27}{45} \times \frac{2}{3} = \frac{81}{90}

Let's Simplify 8190\frac{81}{90}

  • Find the Greatest Common Divisor (GCD) of 8181 and 9090. The GCD of 8181 and 9090 is 99.
  • Divide both the numerator and the denominator by the GCD:81÷990÷9=910\frac{81 \div 9}{90 \div 9} = \frac{9}{10}

Answer 2745÷23=910\frac{27}{45}\div\frac{2}{3} = \frac{9}{10}


The following animation demonstrates the divide-by,

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