What is 38/12 Divided By 1/5

Answer: 3812÷15\frac{38}{12}\div\frac{1}{5} = 956\frac{95}{6}

Solving 3812÷15\frac{38}{12}\div\frac{1}{5}

  • Rewrite the Division as Multiplication by the Reciprocal:

3812÷15=3812×51\frac{38}{12} \div \frac{1}{5} = \frac{38}{12} \times \frac{5}{1}

  • Multiply the Numerators: 38×5=19038 \times 5 = 190
  • Multiply the Denominators: 12×1=1212 \times 1 = 12
  • Form the New Fraction: 3812×15=19012\frac{38}{12} \times \frac{1}{5} = \frac{190}{12}

Let's Simplify 19012\frac{190}{12}

  • Find the Greatest Common Divisor (GCD) of 190190 and 1212. The GCD of 190190 and 1212 is 22.
  • Divide both the numerator and the denominator by the GCD:190÷212÷2=956\frac{190 \div 2}{12 \div 2} = \frac{95}{6}

Answer 3812÷15=956\frac{38}{12}\div\frac{1}{5} = \frac{95}{6}


The following animation demonstrates the divide-by,

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