What is 27/45 Divided By 8/3

Answer: 2745÷83\frac{27}{45}\div\frac{8}{3} = 940\frac{9}{40}

Solving 2745÷83\frac{27}{45}\div\frac{8}{3}

  • Rewrite the Division as Multiplication by the Reciprocal:

2745÷83=2745×38\frac{27}{45} \div \frac{8}{3} = \frac{27}{45} \times \frac{3}{8}

  • Multiply the Numerators: 27×3=8127 \times 3 = 81
  • Multiply the Denominators: 45×8=36045 \times 8 = 360
  • Form the New Fraction: 2745×83=81360\frac{27}{45} \times \frac{8}{3} = \frac{81}{360}

Let's Simplify 81360\frac{81}{360}

  • Find the Greatest Common Divisor (GCD) of 8181 and 360360. The GCD of 8181 and 360360 is 99.
  • Divide both the numerator and the denominator by the GCD:81÷9360÷9=940\frac{81 \div 9}{360 \div 9} = \frac{9}{40}

Answer 2745÷83=940\frac{27}{45}\div\frac{8}{3} = \frac{9}{40}


The following animation demonstrates the divide-by,

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