What is 18/99 Divided By 6/9

Solving $\frac{18}{99}\div\frac{6}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{18}{99} \div \frac{6}{9} = \frac{18}{99} \times \frac{9}{6}$

• Multiply the Numerators: $18 \times 9 = 162$
• Multiply the Denominators: $99 \times 6 = 594$
• Form the New Fraction: $\frac{18}{99} \times \frac{6}{9} = \frac{162}{594}$

Let's Simplify $\frac{162}{594}$

• Find the Greatest Common Divisor (GCD) of $162$ and $594$. The GCD of $162$ and $594$ is $54$.
• Divide both the numerator and the denominator by the GCD:$\frac{162 \div 54}{594 \div 54} = \frac{3}{11}$

Answer $\frac{18}{99}\div\frac{6}{9} = \frac{3}{11}$

The following animation demonstrates the divide-by,