What is 12/52 Divided By 2/5

Solving $\frac{12}{52}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{12}{52} \div \frac{2}{5} = \frac{12}{52} \times \frac{5}{2}$

• Multiply the Numerators: $12 \times 5 = 60$
• Multiply the Denominators: $52 \times 2 = 104$
• Form the New Fraction: $\frac{12}{52} \times \frac{2}{5} = \frac{60}{104}$

Let's Simplify $\frac{60}{104}$

• Find the Greatest Common Divisor (GCD) of $60$ and $104$. The GCD of $60$ and $104$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{60 \div 4}{104 \div 4} = \frac{15}{26}$

Answer $\frac{12}{52}\div\frac{2}{5} = \frac{15}{26}$

The following animation demonstrates the divide-by,