What is 38/75 Divided By 4/1

Answer: 3875÷41\frac{38}{75}\div\frac{4}{1} = 19150\frac{19}{150}

Solving 3875÷41\frac{38}{75}\div\frac{4}{1}

  • Rewrite the Division as Multiplication by the Reciprocal:

3875÷41=3875×14\frac{38}{75} \div \frac{4}{1} = \frac{38}{75} \times \frac{1}{4}

  • Multiply the Numerators: 38×1=3838 \times 1 = 38
  • Multiply the Denominators: 75×4=30075 \times 4 = 300
  • Form the New Fraction: 3875×41=38300\frac{38}{75} \times \frac{4}{1} = \frac{38}{300}

Let's Simplify 38300\frac{38}{300}

  • Find the Greatest Common Divisor (GCD) of 3838 and 300300. The GCD of 3838 and 300300 is 22.
  • Divide both the numerator and the denominator by the GCD:38÷2300÷2=19150\frac{38 \div 2}{300 \div 2} = \frac{19}{150}

Answer 3875÷41=19150\frac{38}{75}\div\frac{4}{1} = \frac{19}{150}


The following animation demonstrates the divide-by,

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