What is 91/17 Divided By 7/9

Solving $\frac{91}{17}\div\frac{7}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{17} \div \frac{7}{9} = \frac{91}{17} \times \frac{9}{7}$

• Multiply the Numerators: $91 \times 9 = 819$
• Multiply the Denominators: $17 \times 7 = 119$
• Form the New Fraction: $\frac{91}{17} \times \frac{7}{9} = \frac{819}{119}$

Let's Simplify $\frac{819}{119}$

• Find the Greatest Common Divisor (GCD) of $819$ and $119$. The GCD of $819$ and $119$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{819 \div 7}{119 \div 7} = \frac{117}{17}$

Answer $\frac{91}{17}\div\frac{7}{9} = \frac{117}{17}$

The following animation demonstrates the divide-by,