What is 28/27 Divided By 1/3

Answer: 2827÷13\frac{28}{27}\div\frac{1}{3} = 289\frac{28}{9}

Solving 2827÷13\frac{28}{27}\div\frac{1}{3}

  • Rewrite the Division as Multiplication by the Reciprocal:

2827÷13=2827×31\frac{28}{27} \div \frac{1}{3} = \frac{28}{27} \times \frac{3}{1}

  • Multiply the Numerators: 28×3=8428 \times 3 = 84
  • Multiply the Denominators: 27×1=2727 \times 1 = 27
  • Form the New Fraction: 2827×13=8427\frac{28}{27} \times \frac{1}{3} = \frac{84}{27}

Let's Simplify 8427\frac{84}{27}

  • Find the Greatest Common Divisor (GCD) of 8484 and 2727. The GCD of 8484 and 2727 is 33.
  • Divide both the numerator and the denominator by the GCD:84÷327÷3=289\frac{84 \div 3}{27 \div 3} = \frac{28}{9}

Answer 2827÷13=289\frac{28}{27}\div\frac{1}{3} = \frac{28}{9}


The following animation demonstrates the divide-by,

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