What is 85/74 Divided By 1/6

Solving $\frac{85}{74}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{74} \div \frac{1}{6} = \frac{85}{74} \times \frac{6}{1}$

• Multiply the Numerators: $85 \times 6 = 510$
• Multiply the Denominators: $74 \times 1 = 74$
• Form the New Fraction: $\frac{85}{74} \times \frac{1}{6} = \frac{510}{74}$

Let's Simplify $\frac{510}{74}$

• Find the Greatest Common Divisor (GCD) of $510$ and $74$. The GCD of $510$ and $74$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{510 \div 2}{74 \div 2} = \frac{255}{37}$

Answer $\frac{85}{74}\div\frac{1}{6} = \frac{255}{37}$

The following animation demonstrates the divide-by,