What is 57/45 Divided By 2/8

Answer: 5745÷28\frac{57}{45}\div\frac{2}{8} = 7615\frac{76}{15}

Solving 5745÷28\frac{57}{45}\div\frac{2}{8}

  • Rewrite the Division as Multiplication by the Reciprocal:

5745÷28=5745×82\frac{57}{45} \div \frac{2}{8} = \frac{57}{45} \times \frac{8}{2}

  • Multiply the Numerators: 57×8=45657 \times 8 = 456
  • Multiply the Denominators: 45×2=9045 \times 2 = 90
  • Form the New Fraction: 5745×28=45690\frac{57}{45} \times \frac{2}{8} = \frac{456}{90}

Let's Simplify 45690\frac{456}{90}

  • Find the Greatest Common Divisor (GCD) of 456456 and 9090. The GCD of 456456 and 9090 is 66.
  • Divide both the numerator and the denominator by the GCD:456÷690÷6=7615\frac{456 \div 6}{90 \div 6} = \frac{76}{15}

Answer 5745÷28=7615\frac{57}{45}\div\frac{2}{8} = \frac{76}{15}


The following animation demonstrates the divide-by,

©AskMathGuru
Need support for a different topic or want to share a feedback? Write to us and we'll work on adding it. Be a part of our progress!