What is 60/85 Divided By 1/6

Solving $\frac{60}{85}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{60}{85} \div \frac{1}{6} = \frac{60}{85} \times \frac{6}{1}$

• Multiply the Numerators: $60 \times 6 = 360$
• Multiply the Denominators: $85 \times 1 = 85$
• Form the New Fraction: $\frac{60}{85} \times \frac{1}{6} = \frac{360}{85}$

Let's Simplify $\frac{360}{85}$

• Find the Greatest Common Divisor (GCD) of $360$ and $85$. The GCD of $360$ and $85$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{360 \div 5}{85 \div 5} = \frac{72}{17}$

Answer $\frac{60}{85}\div\frac{1}{6} = \frac{72}{17}$

The following animation demonstrates the divide-by,