What is 99/33 Divided By 9/5

Solving $\frac{99}{33}\div\frac{9}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{99}{33} \div \frac{9}{5} = \frac{99}{33} \times \frac{5}{9}$

• Multiply the Numerators: $99 \times 5 = 495$
• Multiply the Denominators: $33 \times 9 = 297$
• Form the New Fraction: $\frac{99}{33} \times \frac{9}{5} = \frac{495}{297}$

Let's Simplify $\frac{495}{297}$

• Find the Greatest Common Divisor (GCD) of $495$ and $297$. The GCD of $495$ and $297$ is $99$.
• Divide both the numerator and the denominator by the GCD:$\frac{495 \div 99}{297 \div 99} = \frac{5}{3}$

Answer $\frac{99}{33}\div\frac{9}{5} = \frac{5}{3}$

The following animation demonstrates the divide-by,