What is 89/66 Divided By 3/2

Solving $\frac{89}{66}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{89}{66} \div \frac{3}{2} = \frac{89}{66} \times \frac{2}{3}$

• Multiply the Numerators: $89 \times 2 = 178$
• Multiply the Denominators: $66 \times 3 = 198$
• Form the New Fraction: $\frac{89}{66} \times \frac{3}{2} = \frac{178}{198}$

Let's Simplify $\frac{178}{198}$

• Find the Greatest Common Divisor (GCD) of $178$ and $198$. The GCD of $178$ and $198$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{178 \div 2}{198 \div 2} = \frac{89}{99}$

Answer $\frac{89}{66}\div\frac{3}{2} = \frac{89}{99}$

The following animation demonstrates the divide-by,