What is 91/66 Divided By 7/8

Solving $\frac{91}{66}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{66} \div \frac{7}{8} = \frac{91}{66} \times \frac{8}{7}$

• Multiply the Numerators: $91 \times 8 = 728$
• Multiply the Denominators: $66 \times 7 = 462$
• Form the New Fraction: $\frac{91}{66} \times \frac{7}{8} = \frac{728}{462}$

Let's Simplify $\frac{728}{462}$

• Find the Greatest Common Divisor (GCD) of $728$ and $462$. The GCD of $728$ and $462$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{728 \div 14}{462 \div 14} = \frac{52}{33}$

Answer $\frac{91}{66}\div\frac{7}{8} = \frac{52}{33}$

The following animation demonstrates the divide-by,