What is 81/99 Divided By 1/5

Solving $\frac{81}{99}\div\frac{1}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{81}{99} \div \frac{1}{5} = \frac{81}{99} \times \frac{5}{1}$

• Multiply the Numerators: $81 \times 5 = 405$
• Multiply the Denominators: $99 \times 1 = 99$
• Form the New Fraction: $\frac{81}{99} \times \frac{1}{5} = \frac{405}{99}$

Let's Simplify $\frac{405}{99}$

• Find the Greatest Common Divisor (GCD) of $405$ and $99$. The GCD of $405$ and $99$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{405 \div 9}{99 \div 9} = \frac{45}{11}$

Answer $\frac{81}{99}\div\frac{1}{5} = \frac{45}{11}$

The following animation demonstrates the divide-by,