What is 91/11 Divided By 7/6

Solving $\frac{91}{11}\div\frac{7}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{11} \div \frac{7}{6} = \frac{91}{11} \times \frac{6}{7}$

• Multiply the Numerators: $91 \times 6 = 546$
• Multiply the Denominators: $11 \times 7 = 77$
• Form the New Fraction: $\frac{91}{11} \times \frac{7}{6} = \frac{546}{77}$

Let's Simplify $\frac{546}{77}$

• Find the Greatest Common Divisor (GCD) of $546$ and $77$. The GCD of $546$ and $77$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{546 \div 7}{77 \div 7} = \frac{78}{11}$

Answer $\frac{91}{11}\div\frac{7}{6} = \frac{78}{11}$

The following animation demonstrates the divide-by,