What is 45/52 Divided By 2/8

Solving $\frac{45}{52}\div\frac{2}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{52} \div \frac{2}{8} = \frac{45}{52} \times \frac{8}{2}$

• Multiply the Numerators: $45 \times 8 = 360$
• Multiply the Denominators: $52 \times 2 = 104$
• Form the New Fraction: $\frac{45}{52} \times \frac{2}{8} = \frac{360}{104}$

Let's Simplify $\frac{360}{104}$

• Find the Greatest Common Divisor (GCD) of $360$ and $104$. The GCD of $360$ and $104$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{360 \div 8}{104 \div 8} = \frac{45}{13}$

Answer $\frac{45}{52}\div\frac{2}{8} = \frac{45}{13}$

The following animation demonstrates the divide-by,