What is 60/72 Divided By 4/5

Answer: 6072÷45\frac{60}{72}\div\frac{4}{5} = 2524\frac{25}{24}

Solving 6072÷45\frac{60}{72}\div\frac{4}{5}

  • Rewrite the Division as Multiplication by the Reciprocal:

6072÷45=6072×54\frac{60}{72} \div \frac{4}{5} = \frac{60}{72} \times \frac{5}{4}

  • Multiply the Numerators: 60×5=30060 \times 5 = 300
  • Multiply the Denominators: 72×4=28872 \times 4 = 288
  • Form the New Fraction: 6072×45=300288\frac{60}{72} \times \frac{4}{5} = \frac{300}{288}

Let's Simplify 300288\frac{300}{288}

  • Find the Greatest Common Divisor (GCD) of 300300 and 288288. The GCD of 300300 and 288288 is 1212.
  • Divide both the numerator and the denominator by the GCD:300÷12288÷12=2524\frac{300 \div 12}{288 \div 12} = \frac{25}{24}

Answer 6072÷45=2524\frac{60}{72}\div\frac{4}{5} = \frac{25}{24}


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!