What is 12/95 Divided By 3/5

Answer: 1295÷35\frac{12}{95}\div\frac{3}{5} = 419\frac{4}{19}

Solving 1295÷35\frac{12}{95}\div\frac{3}{5}

  • Rewrite the Division as Multiplication by the Reciprocal:

1295÷35=1295×53\frac{12}{95} \div \frac{3}{5} = \frac{12}{95} \times \frac{5}{3}

  • Multiply the Numerators: 12×5=6012 \times 5 = 60
  • Multiply the Denominators: 95×3=28595 \times 3 = 285
  • Form the New Fraction: 1295×35=60285\frac{12}{95} \times \frac{3}{5} = \frac{60}{285}

Let's Simplify 60285\frac{60}{285}

  • Find the Greatest Common Divisor (GCD) of 6060 and 285285. The GCD of 6060 and 285285 is 1515.
  • Divide both the numerator and the denominator by the GCD:60÷15285÷15=419\frac{60 \div 15}{285 \div 15} = \frac{4}{19}

Answer 1295÷35=419\frac{12}{95}\div\frac{3}{5} = \frac{4}{19}


The following animation demonstrates the divide-by,

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