What is 91/22 Divided By 7/9

Solving $\frac{91}{22}\div\frac{7}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{22} \div \frac{7}{9} = \frac{91}{22} \times \frac{9}{7}$

• Multiply the Numerators: $91 \times 9 = 819$
• Multiply the Denominators: $22 \times 7 = 154$
• Form the New Fraction: $\frac{91}{22} \times \frac{7}{9} = \frac{819}{154}$

Let's Simplify $\frac{819}{154}$

• Find the Greatest Common Divisor (GCD) of $819$ and $154$. The GCD of $819$ and $154$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{819 \div 7}{154 \div 7} = \frac{117}{22}$

Answer $\frac{91}{22}\div\frac{7}{9} = \frac{117}{22}$

The following animation demonstrates the divide-by,