What is 91/52 Divided By 7/9

Solving $\frac{91}{52}\div\frac{7}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{52} \div \frac{7}{9} = \frac{91}{52} \times \frac{9}{7}$

• Multiply the Numerators: $91 \times 9 = 819$
• Multiply the Denominators: $52 \times 7 = 364$
• Form the New Fraction: $\frac{91}{52} \times \frac{7}{9} = \frac{819}{364}$

Let's Simplify $\frac{819}{364}$

• Find the Greatest Common Divisor (GCD) of $819$ and $364$. The GCD of $819$ and $364$ is $91$.
• Divide both the numerator and the denominator by the GCD:$\frac{819 \div 91}{364 \div 91} = \frac{9}{4}$

Answer $\frac{91}{52}\div\frac{7}{9} = \frac{9}{4}$

The following animation demonstrates the divide-by,