What is 27/28 Divided By 1/7

Answer: 2728÷17\frac{27}{28}\div\frac{1}{7} = 274\frac{27}{4}

Solving 2728÷17\frac{27}{28}\div\frac{1}{7}

  • Rewrite the Division as Multiplication by the Reciprocal:

2728÷17=2728×71\frac{27}{28} \div \frac{1}{7} = \frac{27}{28} \times \frac{7}{1}

  • Multiply the Numerators: 27×7=18927 \times 7 = 189
  • Multiply the Denominators: 28×1=2828 \times 1 = 28
  • Form the New Fraction: 2728×17=18928\frac{27}{28} \times \frac{1}{7} = \frac{189}{28}

Let's Simplify 18928\frac{189}{28}

  • Find the Greatest Common Divisor (GCD) of 189189 and 2828. The GCD of 189189 and 2828 is 77.
  • Divide both the numerator and the denominator by the GCD:189÷728÷7=274\frac{189 \div 7}{28 \div 7} = \frac{27}{4}

Answer 2728÷17=274\frac{27}{28}\div\frac{1}{7} = \frac{27}{4}


The following animation demonstrates the divide-by,

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