What is 18/27 Divided By 3/4

Answer: 1827÷34\frac{18}{27}\div\frac{3}{4} = 89\frac{8}{9}

Solving 1827÷34\frac{18}{27}\div\frac{3}{4}

  • Rewrite the Division as Multiplication by the Reciprocal:

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

  • Multiply the Numerators: 18×4=7218 \times 4 = 72
  • Multiply the Denominators: 27×3=8127 \times 3 = 81
  • Form the New Fraction: 1827×34=7281\frac{18}{27} \times \frac{3}{4} = \frac{72}{81}

Let's Simplify 7281\frac{72}{81}

  • Find the Greatest Common Divisor (GCD) of 7272 and 8181. The GCD of 7272 and 8181 is 99.
  • Divide both the numerator and the denominator by the GCD:72÷981÷9=89\frac{72 \div 9}{81 \div 9} = \frac{8}{9}

Answer 1827÷34=89\frac{18}{27}\div\frac{3}{4} = \frac{8}{9}


The following animation demonstrates the divide-by,

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