What is 18/27 Divided By 4/3

Answer: 1827÷43\frac{18}{27}\div\frac{4}{3} = 12\frac{1}{2}

Solving 1827÷43\frac{18}{27}\div\frac{4}{3}

  • Rewrite the Division as Multiplication by the Reciprocal:

1827÷43=1827×34\frac{18}{27} \div \frac{4}{3} = \frac{18}{27} \times \frac{3}{4}

  • Multiply the Numerators: 18×3=5418 \times 3 = 54
  • Multiply the Denominators: 27×4=10827 \times 4 = 108
  • Form the New Fraction: 1827×43=54108\frac{18}{27} \times \frac{4}{3} = \frac{54}{108}

Let's Simplify 54108\frac{54}{108}

  • Find the Greatest Common Divisor (GCD) of 5454 and 108108. The GCD of 5454 and 108108 is 5454.
  • Divide both the numerator and the denominator by the GCD:54÷54108÷54=12\frac{54 \div 54}{108 \div 54} = \frac{1}{2}

Answer 1827÷43=12\frac{18}{27}\div\frac{4}{3} = \frac{1}{2}


The following animation demonstrates the divide-by,

©AskMathGuru
Need support for a different topic or want to share a feedback? Write to us and we'll work on adding it. Be a part of our progress!