What is 57/48 Divided By 9/8

Answer: 5748÷98\frac{57}{48}\div\frac{9}{8} = 1918\frac{19}{18}

Solving 5748÷98\frac{57}{48}\div\frac{9}{8}

  • Rewrite the Division as Multiplication by the Reciprocal:

5748÷98=5748×89\frac{57}{48} \div \frac{9}{8} = \frac{57}{48} \times \frac{8}{9}

  • Multiply the Numerators: 57×8=45657 \times 8 = 456
  • Multiply the Denominators: 48×9=43248 \times 9 = 432
  • Form the New Fraction: 5748×98=456432\frac{57}{48} \times \frac{9}{8} = \frac{456}{432}

Let's Simplify 456432\frac{456}{432}

  • Find the Greatest Common Divisor (GCD) of 456456 and 432432. The GCD of 456456 and 432432 is 2424.
  • Divide both the numerator and the denominator by the GCD:456÷24432÷24=1918\frac{456 \div 24}{432 \div 24} = \frac{19}{18}

Answer 5748÷98=1918\frac{57}{48}\div\frac{9}{8} = \frac{19}{18}


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!