What is 88/52 Divided By 2/5

Solving $\frac{88}{52}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{88}{52} \div \frac{2}{5} = \frac{88}{52} \times \frac{5}{2}$

• Multiply the Numerators: $88 \times 5 = 440$
• Multiply the Denominators: $52 \times 2 = 104$
• Form the New Fraction: $\frac{88}{52} \times \frac{2}{5} = \frac{440}{104}$

Let's Simplify $\frac{440}{104}$

• Find the Greatest Common Divisor (GCD) of $440$ and $104$. The GCD of $440$ and $104$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{440 \div 8}{104 \div 8} = \frac{55}{13}$

Answer $\frac{88}{52}\div\frac{2}{5} = \frac{55}{13}$

The following animation demonstrates the divide-by,