What is 66/99 Divided By 5/6

Solving $\frac{66}{99}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{66}{99} \div \frac{5}{6} = \frac{66}{99} \times \frac{6}{5}$

• Multiply the Numerators: $66 \times 6 = 396$
• Multiply the Denominators: $99 \times 5 = 495$
• Form the New Fraction: $\frac{66}{99} \times \frac{5}{6} = \frac{396}{495}$

Let's Simplify $\frac{396}{495}$

• Find the Greatest Common Divisor (GCD) of $396$ and $495$. The GCD of $396$ and $495$ is $99$.
• Divide both the numerator and the denominator by the GCD:$\frac{396 \div 99}{495 \div 99} = \frac{4}{5}$

Answer $\frac{66}{99}\div\frac{5}{6} = \frac{4}{5}$

The following animation demonstrates the divide-by,