What is 33/11 Divided By 9/8

Solving $\frac{33}{11}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{11} \div \frac{9}{8} = \frac{33}{11} \times \frac{8}{9}$

• Multiply the Numerators: $33 \times 8 = 264$
• Multiply the Denominators: $11 \times 9 = 99$
• Form the New Fraction: $\frac{33}{11} \times \frac{9}{8} = \frac{264}{99}$

Let's Simplify $\frac{264}{99}$

• Find the Greatest Common Divisor (GCD) of $264$ and $99$. The GCD of $264$ and $99$ is $33$.
• Divide both the numerator and the denominator by the GCD:$\frac{264 \div 33}{99 \div 33} = \frac{8}{3}$

Answer $\frac{33}{11}\div\frac{9}{8} = \frac{8}{3}$

The following animation demonstrates the divide-by,