What is 99/11 Divided By 9/5

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $99 \times 5 = 495$
• Multiply the Denominators: $11 \times 9 = 99$
• Form the New Fraction: $\frac{99}{11} \times \frac{9}{5} = \frac{495}{99}$

Let's Simplify $\frac{495}{99}$

• Find the Greatest Common Divisor (GCD) of $495$ and $99$. The GCD of $495$ and $99$ is $99$.
• Divide both the numerator and the denominator by the GCD:$\frac{495 \div 99}{99 \div 99} = \frac{5}{1}$

Answer $\frac{99}{11}\div\frac{9}{5} = \frac{5}{1}$

The following animation demonstrates the divide-by,