What is 91/70 Divided By 1/6

Solving $\frac{91}{70}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{70} \div \frac{1}{6} = \frac{91}{70} \times \frac{6}{1}$

• Multiply the Numerators: $91 \times 6 = 546$
• Multiply the Denominators: $70 \times 1 = 70$
• Form the New Fraction: $\frac{91}{70} \times \frac{1}{6} = \frac{546}{70}$

Let's Simplify $\frac{546}{70}$

• Find the Greatest Common Divisor (GCD) of $546$ and $70$. The GCD of $546$ and $70$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{546 \div 14}{70 \div 14} = \frac{39}{5}$

Answer $\frac{91}{70}\div\frac{1}{6} = \frac{39}{5}$

The following animation demonstrates the divide-by,