What is 33/11 Divided By 7/6

Solving $\frac{33}{11}\div\frac{7}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{11} \div \frac{7}{6} = \frac{33}{11} \times \frac{6}{7}$

• Multiply the Numerators: $33 \times 6 = 198$
• Multiply the Denominators: $11 \times 7 = 77$
• Form the New Fraction: $\frac{33}{11} \times \frac{7}{6} = \frac{198}{77}$

Let's Simplify $\frac{198}{77}$

• Find the Greatest Common Divisor (GCD) of $198$ and $77$. The GCD of $198$ and $77$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{198 \div 11}{77 \div 11} = \frac{18}{7}$

Answer $\frac{33}{11}\div\frac{7}{6} = \frac{18}{7}$

The following animation demonstrates the divide-by,