What is 81/99 Divided By 9/5

Solving $\frac{81}{99}\div\frac{9}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{81}{99} \div \frac{9}{5} = \frac{81}{99} \times \frac{5}{9}$

• Multiply the Numerators: $81 \times 5 = 405$
• Multiply the Denominators: $99 \times 9 = 891$
• Form the New Fraction: $\frac{81}{99} \times \frac{9}{5} = \frac{405}{891}$

Let's Simplify $\frac{405}{891}$

• Find the Greatest Common Divisor (GCD) of $405$ and $891$. The GCD of $405$ and $891$ is $81$.
• Divide both the numerator and the denominator by the GCD:$\frac{405 \div 81}{891 \div 81} = \frac{5}{11}$

Answer $\frac{81}{99}\div\frac{9}{5} = \frac{5}{11}$

The following animation demonstrates the divide-by,