What is 57/24 Divided By 6/4

Answer: 5724÷64\frac{57}{24}\div\frac{6}{4} = 1912\frac{19}{12}

Solving 5724÷64\frac{57}{24}\div\frac{6}{4}

  • Rewrite the Division as Multiplication by the Reciprocal:

5724÷64=5724×46\frac{57}{24} \div \frac{6}{4} = \frac{57}{24} \times \frac{4}{6}

  • Multiply the Numerators: 57×4=22857 \times 4 = 228
  • Multiply the Denominators: 24×6=14424 \times 6 = 144
  • Form the New Fraction: 5724×64=228144\frac{57}{24} \times \frac{6}{4} = \frac{228}{144}

Let's Simplify 228144\frac{228}{144}

  • Find the Greatest Common Divisor (GCD) of 228228 and 144144. The GCD of 228228 and 144144 is 1212.
  • Divide both the numerator and the denominator by the GCD:228÷12144÷12=1912\frac{228 \div 12}{144 \div 12} = \frac{19}{12}

Answer 5724÷64=1912\frac{57}{24}\div\frac{6}{4} = \frac{19}{12}


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!