What is 27/35 Divided By 1/7

Answer: 2735÷17\frac{27}{35}\div\frac{1}{7} = 275\frac{27}{5}

Solving 2735÷17\frac{27}{35}\div\frac{1}{7}

  • Rewrite the Division as Multiplication by the Reciprocal:

2735÷17=2735×71\frac{27}{35} \div \frac{1}{7} = \frac{27}{35} \times \frac{7}{1}

  • Multiply the Numerators: 27×7=18927 \times 7 = 189
  • Multiply the Denominators: 35×1=3535 \times 1 = 35
  • Form the New Fraction: 2735×17=18935\frac{27}{35} \times \frac{1}{7} = \frac{189}{35}

Let's Simplify 18935\frac{189}{35}

  • Find the Greatest Common Divisor (GCD) of 189189 and 3535. The GCD of 189189 and 3535 is 77.
  • Divide both the numerator and the denominator by the GCD:189÷735÷7=275\frac{189 \div 7}{35 \div 7} = \frac{27}{5}

Answer 2735÷17=275\frac{27}{35}\div\frac{1}{7} = \frac{27}{5}


The following animation demonstrates the divide-by,

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