What is 91/70 Divided By 8/6

Solving $\frac{91}{70}\div\frac{8}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{70} \div \frac{8}{6} = \frac{91}{70} \times \frac{6}{8}$

• Multiply the Numerators: $91 \times 6 = 546$
• Multiply the Denominators: $70 \times 8 = 560$
• Form the New Fraction: $\frac{91}{70} \times \frac{8}{6} = \frac{546}{560}$

Let's Simplify $\frac{546}{560}$

• Find the Greatest Common Divisor (GCD) of $546$ and $560$. The GCD of $546$ and $560$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{546 \div 14}{560 \div 14} = \frac{39}{40}$

Answer $\frac{91}{70}\div\frac{8}{6} = \frac{39}{40}$

The following animation demonstrates the divide-by,