What is 11/99 Divided By 9/5

Solving $\frac{11}{99}\div\frac{9}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{11}{99} \div \frac{9}{5} = \frac{11}{99} \times \frac{5}{9}$

• Multiply the Numerators: $11 \times 5 = 55$
• Multiply the Denominators: $99 \times 9 = 891$
• Form the New Fraction: $\frac{11}{99} \times \frac{9}{5} = \frac{55}{891}$

Let's Simplify $\frac{55}{891}$

• Find the Greatest Common Divisor (GCD) of $55$ and $891$. The GCD of $55$ and $891$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{55 \div 11}{891 \div 11} = \frac{5}{81}$

Answer $\frac{11}{99}\div\frac{9}{5} = \frac{5}{81}$

The following animation demonstrates the divide-by,