What is 66/81 Divided By 8/5

Solving $\frac{66}{81}\div\frac{8}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{66}{81} \div \frac{8}{5} = \frac{66}{81} \times \frac{5}{8}$

• Multiply the Numerators: $66 \times 5 = 330$
• Multiply the Denominators: $81 \times 8 = 648$
• Form the New Fraction: $\frac{66}{81} \times \frac{8}{5} = \frac{330}{648}$

Let's Simplify $\frac{330}{648}$

• Find the Greatest Common Divisor (GCD) of $330$ and $648$. The GCD of $330$ and $648$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{330 \div 6}{648 \div 6} = \frac{55}{108}$

Answer $\frac{66}{81}\div\frac{8}{5} = \frac{55}{108}$

The following animation demonstrates the divide-by,