What is 42/66 Divided By 3/2

Solving $\frac{42}{66}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{66} \div \frac{3}{2} = \frac{42}{66} \times \frac{2}{3}$

• Multiply the Numerators: $42 \times 2 = 84$
• Multiply the Denominators: $66 \times 3 = 198$
• Form the New Fraction: $\frac{42}{66} \times \frac{3}{2} = \frac{84}{198}$

Let's Simplify $\frac{84}{198}$

• Find the Greatest Common Divisor (GCD) of $84$ and $198$. The GCD of $84$ and $198$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{84 \div 6}{198 \div 6} = \frac{14}{33}$

Answer $\frac{42}{66}\div\frac{3}{2} = \frac{14}{33}$

The following animation demonstrates the divide-by,