What is 91/70 Divided By 1/8

Solving $\frac{91}{70}\div\frac{1}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{70} \div \frac{1}{8} = \frac{91}{70} \times \frac{8}{1}$

• Multiply the Numerators: $91 \times 8 = 728$
• Multiply the Denominators: $70 \times 1 = 70$
• Form the New Fraction: $\frac{91}{70} \times \frac{1}{8} = \frac{728}{70}$

Let's Simplify $\frac{728}{70}$

• Find the Greatest Common Divisor (GCD) of $728$ and $70$. The GCD of $728$ and $70$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{728 \div 14}{70 \div 14} = \frac{52}{5}$

Answer $\frac{91}{70}\div\frac{1}{8} = \frac{52}{5}$

The following animation demonstrates the divide-by,