What is 11/33 Divided By 8/9

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,