What is 99/81 Divided By 2/5

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $99 \times 5 = 495$
• Multiply the Denominators: $81 \times 2 = 162$
• Form the New Fraction: $\frac{99}{81} \times \frac{2}{5} = \frac{495}{162}$

Let's Simplify $\frac{495}{162}$

• Find the Greatest Common Divisor (GCD) of $495$ and $162$. The GCD of $495$ and $162$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{495 \div 9}{162 \div 9} = \frac{55}{18}$

Answer $\frac{99}{81}\div\frac{2}{5} = \frac{55}{18}$

The following animation demonstrates the divide-by,