What is 66/81 Divided By 4/5

Solving $\frac{66}{81}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{66}{81} \div \frac{4}{5} = \frac{66}{81} \times \frac{5}{4}$

• Multiply the Numerators: $66 \times 5 = 330$
• Multiply the Denominators: $81 \times 4 = 324$
• Form the New Fraction: $\frac{66}{81} \times \frac{4}{5} = \frac{330}{324}$

Let's Simplify $\frac{330}{324}$

• Find the Greatest Common Divisor (GCD) of $330$ and $324$. The GCD of $330$ and $324$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{330 \div 6}{324 \div 6} = \frac{55}{54}$

Answer $\frac{66}{81}\div\frac{4}{5} = \frac{55}{54}$

The following animation demonstrates the divide-by,