What is 91/85 Divided By 8/6

Solving $\frac{91}{85}\div\frac{8}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{85} \div \frac{8}{6} = \frac{91}{85} \times \frac{6}{8}$

• Multiply the Numerators: $91 \times 6 = 546$
• Multiply the Denominators: $85 \times 8 = 680$
• Form the New Fraction: $\frac{91}{85} \times \frac{8}{6} = \frac{546}{680}$

Let's Simplify $\frac{546}{680}$

• Find the Greatest Common Divisor (GCD) of $546$ and $680$. The GCD of $546$ and $680$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{546 \div 2}{680 \div 2} = \frac{273}{340}$

Answer $\frac{91}{85}\div\frac{8}{6} = \frac{273}{340}$

The following animation demonstrates the divide-by,