What is 99/57 Divided By 3/2

Solving $\frac{99}{57}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{99}{57} \div \frac{3}{2} = \frac{99}{57} \times \frac{2}{3}$

• Multiply the Numerators: $99 \times 2 = 198$
• Multiply the Denominators: $57 \times 3 = 171$
• Form the New Fraction: $\frac{99}{57} \times \frac{3}{2} = \frac{198}{171}$

Let's Simplify $\frac{198}{171}$

• Find the Greatest Common Divisor (GCD) of $198$ and $171$. The GCD of $198$ and $171$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{198 \div 9}{171 \div 9} = \frac{22}{19}$

Answer $\frac{99}{57}\div\frac{3}{2} = \frac{22}{19}$

The following animation demonstrates the divide-by,