What is 12/95 Divided By 9/4

Answer: 1295÷94\frac{12}{95}\div\frac{9}{4} = 16285\frac{16}{285}

Solving 1295÷94\frac{12}{95}\div\frac{9}{4}

  • Rewrite the Division as Multiplication by the Reciprocal:

1295÷94=1295×49\frac{12}{95} \div \frac{9}{4} = \frac{12}{95} \times \frac{4}{9}

  • Multiply the Numerators: 12×4=4812 \times 4 = 48
  • Multiply the Denominators: 95×9=85595 \times 9 = 855
  • Form the New Fraction: 1295×94=48855\frac{12}{95} \times \frac{9}{4} = \frac{48}{855}

Let's Simplify 48855\frac{48}{855}

  • Find the Greatest Common Divisor (GCD) of 4848 and 855855. The GCD of 4848 and 855855 is 33.
  • Divide both the numerator and the denominator by the GCD:48÷3855÷3=16285\frac{48 \div 3}{855 \div 3} = \frac{16}{285}

Answer 1295÷94=16285\frac{12}{95}\div\frac{9}{4} = \frac{16}{285}


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!