What is 33/99 Divided By 8/9

Solving $\frac{33}{99}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{99} \div \frac{8}{9} = \frac{33}{99} \times \frac{9}{8}$

• Multiply the Numerators: $33 \times 9 = 297$
• Multiply the Denominators: $99 \times 8 = 792$
• Form the New Fraction: $\frac{33}{99} \times \frac{8}{9} = \frac{297}{792}$

Let's Simplify $\frac{297}{792}$

• Find the Greatest Common Divisor (GCD) of $297$ and $792$. The GCD of $297$ and $792$ is $99$.
• Divide both the numerator and the denominator by the GCD:$\frac{297 \div 99}{792 \div 99} = \frac{3}{8}$

Answer $\frac{33}{99}\div\frac{8}{9} = \frac{3}{8}$

The following animation demonstrates the divide-by,