What is 95/75 Divided By 3/5

Answer: 9575÷35\frac{95}{75}\div\frac{3}{5} = 199\frac{19}{9}

Solving 9575÷35\frac{95}{75}\div\frac{3}{5}

  • Rewrite the Division as Multiplication by the Reciprocal:

9575÷35=9575×53\frac{95}{75} \div \frac{3}{5} = \frac{95}{75} \times \frac{5}{3}

  • Multiply the Numerators: 95×5=47595 \times 5 = 475
  • Multiply the Denominators: 75×3=22575 \times 3 = 225
  • Form the New Fraction: 9575×35=475225\frac{95}{75} \times \frac{3}{5} = \frac{475}{225}

Let's Simplify 475225\frac{475}{225}

  • Find the Greatest Common Divisor (GCD) of 475475 and 225225. The GCD of 475475 and 225225 is 2525.
  • Divide both the numerator and the denominator by the GCD:475÷25225÷25=199\frac{475 \div 25}{225 \div 25} = \frac{19}{9}

Answer 9575÷35=199\frac{95}{75}\div\frac{3}{5} = \frac{19}{9}


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!