What is 45/27 Divided By 1/4

Answer: 4527÷14\frac{45}{27}\div\frac{1}{4} = 203\frac{20}{3}

Solving 4527÷14\frac{45}{27}\div\frac{1}{4}

  • Rewrite the Division as Multiplication by the Reciprocal:

4527÷14=4527×41\frac{45}{27} \div \frac{1}{4} = \frac{45}{27} \times \frac{4}{1}

  • Multiply the Numerators: 45×4=18045 \times 4 = 180
  • Multiply the Denominators: 27×1=2727 \times 1 = 27
  • Form the New Fraction: 4527×14=18027\frac{45}{27} \times \frac{1}{4} = \frac{180}{27}

Let's Simplify 18027\frac{180}{27}

  • Find the Greatest Common Divisor (GCD) of 180180 and 2727. The GCD of 180180 and 2727 is 99.
  • Divide both the numerator and the denominator by the GCD:180÷927÷9=203\frac{180 \div 9}{27 \div 9} = \frac{20}{3}

Answer 4527÷14=203\frac{45}{27}\div\frac{1}{4} = \frac{20}{3}


The following animation demonstrates the divide-by,

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