What is 99/17 Divided By 9/2

Solving $\frac{99}{17}\div\frac{9}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{99}{17} \div \frac{9}{2} = \frac{99}{17} \times \frac{2}{9}$

• Multiply the Numerators: $99 \times 2 = 198$
• Multiply the Denominators: $17 \times 9 = 153$
• Form the New Fraction: $\frac{99}{17} \times \frac{9}{2} = \frac{198}{153}$

Let's Simplify $\frac{198}{153}$

• Find the Greatest Common Divisor (GCD) of $198$ and $153$. The GCD of $198$ and $153$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{198 \div 9}{153 \div 9} = \frac{22}{17}$

Answer $\frac{99}{17}\div\frac{9}{2} = \frac{22}{17}$

The following animation demonstrates the divide-by,