What is 85/98 Divided By 1/6

Solving $\frac{85}{98}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{98} \div \frac{1}{6} = \frac{85}{98} \times \frac{6}{1}$

• Multiply the Numerators: $85 \times 6 = 510$
• Multiply the Denominators: $98 \times 1 = 98$
• Form the New Fraction: $\frac{85}{98} \times \frac{1}{6} = \frac{510}{98}$

Let's Simplify $\frac{510}{98}$

• Find the Greatest Common Divisor (GCD) of $510$ and $98$. The GCD of $510$ and $98$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{510 \div 2}{98 \div 2} = \frac{255}{49}$

Answer $\frac{85}{98}\div\frac{1}{6} = \frac{255}{49}$

The following animation demonstrates the divide-by,