What is 75/52 Divided By 9/3

Solving $\frac{75}{52}\div\frac{9}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{52} \div \frac{9}{3} = \frac{75}{52} \times \frac{3}{9}$

• Multiply the Numerators: $75 \times 3 = 225$
• Multiply the Denominators: $52 \times 9 = 468$
• Form the New Fraction: $\frac{75}{52} \times \frac{9}{3} = \frac{225}{468}$

Let's Simplify $\frac{225}{468}$

• Find the Greatest Common Divisor (GCD) of $225$ and $468$. The GCD of $225$ and $468$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{225 \div 9}{468 \div 9} = \frac{25}{52}$

Answer $\frac{75}{52}\div\frac{9}{3} = \frac{25}{52}$

The following animation demonstrates the divide-by,