What is 66/81 Divided By 5/6

Solving $\frac{66}{81}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{66}{81} \div \frac{5}{6} = \frac{66}{81} \times \frac{6}{5}$

• Multiply the Numerators: $66 \times 6 = 396$
• Multiply the Denominators: $81 \times 5 = 405$
• Form the New Fraction: $\frac{66}{81} \times \frac{5}{6} = \frac{396}{405}$

Let's Simplify $\frac{396}{405}$

• Find the Greatest Common Divisor (GCD) of $396$ and $405$. The GCD of $396$ and $405$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{396 \div 9}{405 \div 9} = \frac{44}{45}$

Answer $\frac{66}{81}\div\frac{5}{6} = \frac{44}{45}$

The following animation demonstrates the divide-by,