What is 18/11 Divided By 6/8

Solving $\frac{18}{11}\div\frac{6}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{18}{11} \div \frac{6}{8} = \frac{18}{11} \times \frac{8}{6}$

• Multiply the Numerators: $18 \times 8 = 144$
• Multiply the Denominators: $11 \times 6 = 66$
• Form the New Fraction: $\frac{18}{11} \times \frac{6}{8} = \frac{144}{66}$

Let's Simplify $\frac{144}{66}$

• Find the Greatest Common Divisor (GCD) of $144$ and $66$. The GCD of $144$ and $66$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{144 \div 6}{66 \div 6} = \frac{24}{11}$

Answer $\frac{18}{11}\div\frac{6}{8} = \frac{24}{11}$

The following animation demonstrates the divide-by,