What is 27/38 Divided By 1/6

Answer: 2738÷16\frac{27}{38}\div\frac{1}{6} = 8119\frac{81}{19}

Solving 2738÷16\frac{27}{38}\div\frac{1}{6}

  • Rewrite the Division as Multiplication by the Reciprocal:

2738÷16=2738×61\frac{27}{38} \div \frac{1}{6} = \frac{27}{38} \times \frac{6}{1}

  • Multiply the Numerators: 27×6=16227 \times 6 = 162
  • Multiply the Denominators: 38×1=3838 \times 1 = 38
  • Form the New Fraction: 2738×16=16238\frac{27}{38} \times \frac{1}{6} = \frac{162}{38}

Let's Simplify 16238\frac{162}{38}

  • Find the Greatest Common Divisor (GCD) of 162162 and 3838. The GCD of 162162 and 3838 is 22.
  • Divide both the numerator and the denominator by the GCD:162÷238÷2=8119\frac{162 \div 2}{38 \div 2} = \frac{81}{19}

Answer 2738÷16=8119\frac{27}{38}\div\frac{1}{6} = \frac{81}{19}


The following animation demonstrates the divide-by,

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