What is 81/99 Divided By 2/5

Solving $\frac{81}{99}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{81}{99} \div \frac{2}{5} = \frac{81}{99} \times \frac{5}{2}$

• Multiply the Numerators: $81 \times 5 = 405$
• Multiply the Denominators: $99 \times 2 = 198$
• Form the New Fraction: $\frac{81}{99} \times \frac{2}{5} = \frac{405}{198}$

Let's Simplify $\frac{405}{198}$

• Find the Greatest Common Divisor (GCD) of $405$ and $198$. The GCD of $405$ and $198$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{405 \div 9}{198 \div 9} = \frac{45}{22}$

Answer $\frac{81}{99}\div\frac{2}{5} = \frac{45}{22}$

The following animation demonstrates the divide-by,