What is 81/99 Divided By 3/5

Solving $\frac{81}{99}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{81}{99} \div \frac{3}{5} = \frac{81}{99} \times \frac{5}{3}$

• Multiply the Numerators: $81 \times 5 = 405$
• Multiply the Denominators: $99 \times 3 = 297$
• Form the New Fraction: $\frac{81}{99} \times \frac{3}{5} = \frac{405}{297}$

Let's Simplify $\frac{405}{297}$

• Find the Greatest Common Divisor (GCD) of $405$ and $297$. The GCD of $405$ and $297$ is $27$.
• Divide both the numerator and the denominator by the GCD:$\frac{405 \div 27}{297 \div 27} = \frac{15}{11}$

Answer $\frac{81}{99}\div\frac{3}{5} = \frac{15}{11}$

The following animation demonstrates the divide-by,