What is 85/75 Divided By 1/6

Solving $\frac{85}{75}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{75} \div \frac{1}{6} = \frac{85}{75} \times \frac{6}{1}$

• Multiply the Numerators: $85 \times 6 = 510$
• Multiply the Denominators: $75 \times 1 = 75$
• Form the New Fraction: $\frac{85}{75} \times \frac{1}{6} = \frac{510}{75}$

Let's Simplify $\frac{510}{75}$

• Find the Greatest Common Divisor (GCD) of $510$ and $75$. The GCD of $510$ and $75$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{510 \div 15}{75 \div 15} = \frac{34}{5}$

Answer $\frac{85}{75}\div\frac{1}{6} = \frac{34}{5}$

The following animation demonstrates the divide-by,