What is 91/85 Divided By 7/9

Solving $\frac{91}{85}\div\frac{7}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{85} \div \frac{7}{9} = \frac{91}{85} \times \frac{9}{7}$

• Multiply the Numerators: $91 \times 9 = 819$
• Multiply the Denominators: $85 \times 7 = 595$
• Form the New Fraction: $\frac{91}{85} \times \frac{7}{9} = \frac{819}{595}$

Let's Simplify $\frac{819}{595}$

• Find the Greatest Common Divisor (GCD) of $819$ and $595$. The GCD of $819$ and $595$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{819 \div 7}{595 \div 7} = \frac{117}{85}$

Answer $\frac{91}{85}\div\frac{7}{9} = \frac{117}{85}$

The following animation demonstrates the divide-by,