What is 75/52 Divided By 5/2

Solving $\frac{75}{52}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{52} \div \frac{5}{2} = \frac{75}{52} \times \frac{2}{5}$

• Multiply the Numerators: $75 \times 2 = 150$
• Multiply the Denominators: $52 \times 5 = 260$
• Form the New Fraction: $\frac{75}{52} \times \frac{5}{2} = \frac{150}{260}$

Let's Simplify $\frac{150}{260}$

• Find the Greatest Common Divisor (GCD) of $150$ and $260$. The GCD of $150$ and $260$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{150 \div 10}{260 \div 10} = \frac{15}{26}$

Answer $\frac{75}{52}\div\frac{5}{2} = \frac{15}{26}$

The following animation demonstrates the divide-by,