What is 38/39 Divided By 4/1

Answer: 3839÷41\frac{38}{39}\div\frac{4}{1} = 1978\frac{19}{78}

Solving 3839÷41\frac{38}{39}\div\frac{4}{1}

  • Rewrite the Division as Multiplication by the Reciprocal:

3839÷41=3839×14\frac{38}{39} \div \frac{4}{1} = \frac{38}{39} \times \frac{1}{4}

  • Multiply the Numerators: 38×1=3838 \times 1 = 38
  • Multiply the Denominators: 39×4=15639 \times 4 = 156
  • Form the New Fraction: 3839×41=38156\frac{38}{39} \times \frac{4}{1} = \frac{38}{156}

Let's Simplify 38156\frac{38}{156}

  • Find the Greatest Common Divisor (GCD) of 3838 and 156156. The GCD of 3838 and 156156 is 22.
  • Divide both the numerator and the denominator by the GCD:38÷2156÷2=1978\frac{38 \div 2}{156 \div 2} = \frac{19}{78}

Answer 3839÷41=1978\frac{38}{39}\div\frac{4}{1} = \frac{19}{78}


The following animation demonstrates the divide-by,

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