What is 88/99 Divided By 2/5

Solving $\frac{88}{99}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{88}{99} \div \frac{2}{5} = \frac{88}{99} \times \frac{5}{2}$

• Multiply the Numerators: $88 \times 5 = 440$
• Multiply the Denominators: $99 \times 2 = 198$
• Form the New Fraction: $\frac{88}{99} \times \frac{2}{5} = \frac{440}{198}$

Let's Simplify $\frac{440}{198}$

• Find the Greatest Common Divisor (GCD) of $440$ and $198$. The GCD of $440$ and $198$ is $22$.
• Divide both the numerator and the denominator by the GCD:$\frac{440 \div 22}{198 \div 22} = \frac{20}{9}$

Answer $\frac{88}{99}\div\frac{2}{5} = \frac{20}{9}$

The following animation demonstrates the divide-by,