What is 66/11 Divided By 5/6

Solving $\frac{66}{11}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{66}{11} \div \frac{5}{6} = \frac{66}{11} \times \frac{6}{5}$

• Multiply the Numerators: $66 \times 6 = 396$
• Multiply the Denominators: $11 \times 5 = 55$
• Form the New Fraction: $\frac{66}{11} \times \frac{5}{6} = \frac{396}{55}$

Let's Simplify $\frac{396}{55}$

• Find the Greatest Common Divisor (GCD) of $396$ and $55$. The GCD of $396$ and $55$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{396 \div 11}{55 \div 11} = \frac{36}{5}$

Answer $\frac{66}{11}\div\frac{5}{6} = \frac{36}{5}$

The following animation demonstrates the divide-by,