What is 35/39 Divided By 1/6

Answer: 3539÷16\frac{35}{39}\div\frac{1}{6} = 7013\frac{70}{13}

Solving 3539÷16\frac{35}{39}\div\frac{1}{6}

  • Rewrite the Division as Multiplication by the Reciprocal:

3539÷16=3539×61\frac{35}{39} \div \frac{1}{6} = \frac{35}{39} \times \frac{6}{1}

  • Multiply the Numerators: 35×6=21035 \times 6 = 210
  • Multiply the Denominators: 39×1=3939 \times 1 = 39
  • Form the New Fraction: 3539×16=21039\frac{35}{39} \times \frac{1}{6} = \frac{210}{39}

Let's Simplify 21039\frac{210}{39}

  • Find the Greatest Common Divisor (GCD) of 210210 and 3939. The GCD of 210210 and 3939 is 33.
  • Divide both the numerator and the denominator by the GCD:210÷339÷3=7013\frac{210 \div 3}{39 \div 3} = \frac{70}{13}

Answer 3539÷16=7013\frac{35}{39}\div\frac{1}{6} = \frac{70}{13}


The following animation demonstrates the divide-by,

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