What is 99/88 Divided By 2/5

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $99 \times 5 = 495$
• Multiply the Denominators: $88 \times 2 = 176$
• Form the New Fraction: $\frac{99}{88} \times \frac{2}{5} = \frac{495}{176}$

Let's Simplify $\frac{495}{176}$

• Find the Greatest Common Divisor (GCD) of $495$ and $176$. The GCD of $495$ and $176$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{495 \div 11}{176 \div 11} = \frac{45}{16}$

Answer $\frac{99}{88}\div\frac{2}{5} = \frac{45}{16}$

The following animation demonstrates the divide-by,