What is 60/24 Divided By 5/6

Answer: 6024÷56\frac{60}{24}\div\frac{5}{6} = 31\frac{3}{1}

Solving 6024÷56\frac{60}{24}\div\frac{5}{6}

  • Rewrite the Division as Multiplication by the Reciprocal:

6024÷56=6024×65\frac{60}{24} \div \frac{5}{6} = \frac{60}{24} \times \frac{6}{5}

  • Multiply the Numerators: 60×6=36060 \times 6 = 360
  • Multiply the Denominators: 24×5=12024 \times 5 = 120
  • Form the New Fraction: 6024×56=360120\frac{60}{24} \times \frac{5}{6} = \frac{360}{120}

Let's Simplify 360120\frac{360}{120}

  • Find the Greatest Common Divisor (GCD) of 360360 and 120120. The GCD of 360360 and 120120 is 120120.
  • Divide both the numerator and the denominator by the GCD:360÷120120÷120=31\frac{360 \div 120}{120 \div 120} = \frac{3}{1}

Answer 6024÷56=31\frac{60}{24}\div\frac{5}{6} = \frac{3}{1}


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!