What is 33/11 Divided By 5/9

Solving $\frac{33}{11}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{11} \div \frac{5}{9} = \frac{33}{11} \times \frac{9}{5}$

• Multiply the Numerators: $33 \times 9 = 297$
• Multiply the Denominators: $11 \times 5 = 55$
• Form the New Fraction: $\frac{33}{11} \times \frac{5}{9} = \frac{297}{55}$

Let's Simplify $\frac{297}{55}$

• Find the Greatest Common Divisor (GCD) of $297$ and $55$. The GCD of $297$ and $55$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{297 \div 11}{55 \div 11} = \frac{27}{5}$

Answer $\frac{33}{11}\div\frac{5}{9} = \frac{27}{5}$

The following animation demonstrates the divide-by,