What is 99/38 Divided By 3/2

Solving $\frac{99}{38}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{99}{38} \div \frac{3}{2} = \frac{99}{38} \times \frac{2}{3}$

• Multiply the Numerators: $99 \times 2 = 198$
• Multiply the Denominators: $38 \times 3 = 114$
• Form the New Fraction: $\frac{99}{38} \times \frac{3}{2} = \frac{198}{114}$

Let's Simplify $\frac{198}{114}$

• Find the Greatest Common Divisor (GCD) of $198$ and $114$. The GCD of $198$ and $114$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{198 \div 6}{114 \div 6} = \frac{33}{19}$

Answer $\frac{99}{38}\div\frac{3}{2} = \frac{33}{19}$

The following animation demonstrates the divide-by,