What is 18/27 Divided By 2/3

Answer: 1827÷23\frac{18}{27}\div\frac{2}{3} = 11\frac{1}{1}

Solving 1827÷23\frac{18}{27}\div\frac{2}{3}

  • Rewrite the Division as Multiplication by the Reciprocal:

1827÷23=1827×32\frac{18}{27} \div \frac{2}{3} = \frac{18}{27} \times \frac{3}{2}

  • Multiply the Numerators: 18×3=5418 \times 3 = 54
  • Multiply the Denominators: 27×2=5427 \times 2 = 54
  • Form the New Fraction: 1827×23=5454\frac{18}{27} \times \frac{2}{3} = \frac{54}{54}

Let's Simplify 5454\frac{54}{54}

  • Find the Greatest Common Divisor (GCD) of 5454 and 5454. The GCD of 5454 and 5454 is 5454.
  • Divide both the numerator and the denominator by the GCD:54÷5454÷54=11\frac{54 \div 54}{54 \div 54} = \frac{1}{1}

Answer 1827÷23=11\frac{18}{27}\div\frac{2}{3} = \frac{1}{1}


The following animation demonstrates the divide-by,

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