What is 38/27 Divided By 6/1

Answer: 3827÷61\frac{38}{27}\div\frac{6}{1} = 1981\frac{19}{81}

Solving 3827÷61\frac{38}{27}\div\frac{6}{1}

  • Rewrite the Division as Multiplication by the Reciprocal:

3827÷61=3827×16\frac{38}{27} \div \frac{6}{1} = \frac{38}{27} \times \frac{1}{6}

  • Multiply the Numerators: 38×1=3838 \times 1 = 38
  • Multiply the Denominators: 27×6=16227 \times 6 = 162
  • Form the New Fraction: 3827×61=38162\frac{38}{27} \times \frac{6}{1} = \frac{38}{162}

Let's Simplify 38162\frac{38}{162}

  • Find the Greatest Common Divisor (GCD) of 3838 and 162162. The GCD of 3838 and 162162 is 22.
  • Divide both the numerator and the denominator by the GCD:38÷2162÷2=1981\frac{38 \div 2}{162 \div 2} = \frac{19}{81}

Answer 3827÷61=1981\frac{38}{27}\div\frac{6}{1} = \frac{19}{81}


The following animation demonstrates the divide-by,

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