What is 91/52 Divided By 7/6

Solving $\frac{91}{52}\div\frac{7}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{52} \div \frac{7}{6} = \frac{91}{52} \times \frac{6}{7}$

• Multiply the Numerators: $91 \times 6 = 546$
• Multiply the Denominators: $52 \times 7 = 364$
• Form the New Fraction: $\frac{91}{52} \times \frac{7}{6} = \frac{546}{364}$

Let's Simplify $\frac{546}{364}$

• Find the Greatest Common Divisor (GCD) of $546$ and $364$. The GCD of $546$ and $364$ is $182$.
• Divide both the numerator and the denominator by the GCD:$\frac{546 \div 182}{364 \div 182} = \frac{3}{2}$

Answer $\frac{91}{52}\div\frac{7}{6} = \frac{3}{2}$

The following animation demonstrates the divide-by,