What is 38/75 Divided By 1/3

Answer: 3875÷13\frac{38}{75}\div\frac{1}{3} = 3825\frac{38}{25}

Solving 3875÷13\frac{38}{75}\div\frac{1}{3}

  • Rewrite the Division as Multiplication by the Reciprocal:

3875÷13=3875×31\frac{38}{75} \div \frac{1}{3} = \frac{38}{75} \times \frac{3}{1}

  • Multiply the Numerators: 38×3=11438 \times 3 = 114
  • Multiply the Denominators: 75×1=7575 \times 1 = 75
  • Form the New Fraction: 3875×13=11475\frac{38}{75} \times \frac{1}{3} = \frac{114}{75}

Let's Simplify 11475\frac{114}{75}

  • Find the Greatest Common Divisor (GCD) of 114114 and 7575. The GCD of 114114 and 7575 is 33.
  • Divide both the numerator and the denominator by the GCD:114÷375÷3=3825\frac{114 \div 3}{75 \div 3} = \frac{38}{25}

Answer 3875÷13=3825\frac{38}{75}\div\frac{1}{3} = \frac{38}{25}


The following animation demonstrates the divide-by,

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