What is 85/81 Divided By 1/6

Solving $\frac{85}{81}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{81} \div \frac{1}{6} = \frac{85}{81} \times \frac{6}{1}$

• Multiply the Numerators: $85 \times 6 = 510$
• Multiply the Denominators: $81 \times 1 = 81$
• Form the New Fraction: $\frac{85}{81} \times \frac{1}{6} = \frac{510}{81}$

Let's Simplify $\frac{510}{81}$

• Find the Greatest Common Divisor (GCD) of $510$ and $81$. The GCD of $510$ and $81$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{510 \div 3}{81 \div 3} = \frac{170}{27}$

Answer $\frac{85}{81}\div\frac{1}{6} = \frac{170}{27}$

The following animation demonstrates the divide-by,