What is 34/72 Divided By 3/5

Answer: 3472÷35\frac{34}{72}\div\frac{3}{5} = 85108\frac{85}{108}

Solving 3472÷35\frac{34}{72}\div\frac{3}{5}

  • Rewrite the Division as Multiplication by the Reciprocal:

3472÷35=3472×53\frac{34}{72} \div \frac{3}{5} = \frac{34}{72} \times \frac{5}{3}

  • Multiply the Numerators: 34×5=17034 \times 5 = 170
  • Multiply the Denominators: 72×3=21672 \times 3 = 216
  • Form the New Fraction: 3472×35=170216\frac{34}{72} \times \frac{3}{5} = \frac{170}{216}

Let's Simplify 170216\frac{170}{216}

  • Find the Greatest Common Divisor (GCD) of 170170 and 216216. The GCD of 170170 and 216216 is 22.
  • Divide both the numerator and the denominator by the GCD:170÷2216÷2=85108\frac{170 \div 2}{216 \div 2} = \frac{85}{108}

Answer 3472÷35=85108\frac{34}{72}\div\frac{3}{5} = \frac{85}{108}


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!