What is 57/66 Divided By 3/2

Solving $\frac{57}{66}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{66} \div \frac{3}{2} = \frac{57}{66} \times \frac{2}{3}$

• Multiply the Numerators: $57 \times 2 = 114$
• Multiply the Denominators: $66 \times 3 = 198$
• Form the New Fraction: $\frac{57}{66} \times \frac{3}{2} = \frac{114}{198}$

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

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

Answer $\frac{57}{66}\div\frac{3}{2} = \frac{19}{33}$

The following animation demonstrates the divide-by,