What is 60/72 Divided By 4/6

Answer: 6072÷46\frac{60}{72}\div\frac{4}{6} = 54\frac{5}{4}

Solving 6072÷46\frac{60}{72}\div\frac{4}{6}

  • Rewrite the Division as Multiplication by the Reciprocal:

6072÷46=6072×64\frac{60}{72} \div \frac{4}{6} = \frac{60}{72} \times \frac{6}{4}

  • Multiply the Numerators: 60×6=36060 \times 6 = 360
  • Multiply the Denominators: 72×4=28872 \times 4 = 288
  • Form the New Fraction: 6072×46=360288\frac{60}{72} \times \frac{4}{6} = \frac{360}{288}

Let's Simplify 360288\frac{360}{288}

  • Find the Greatest Common Divisor (GCD) of 360360 and 288288. The GCD of 360360 and 288288 is 7272.
  • Divide both the numerator and the denominator by the GCD:360÷72288÷72=54\frac{360 \div 72}{288 \div 72} = \frac{5}{4}

Answer 6072÷46=54\frac{60}{72}\div\frac{4}{6} = \frac{5}{4}


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!