What is 75/45 Divided By 5/9

Solving $\frac{75}{45}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{45} \div \frac{5}{9} = \frac{75}{45} \times \frac{9}{5}$

• Multiply the Numerators: $75 \times 9 = 675$
• Multiply the Denominators: $45 \times 5 = 225$
• Form the New Fraction: $\frac{75}{45} \times \frac{5}{9} = \frac{675}{225}$

Let's Simplify $\frac{675}{225}$

• Find the Greatest Common Divisor (GCD) of $675$ and $225$. The GCD of $675$ and $225$ is $225$.
• Divide both the numerator and the denominator by the GCD:$\frac{675 \div 225}{225 \div 225} = \frac{3}{1}$

Answer $\frac{75}{45}\div\frac{5}{9} = \frac{3}{1}$

The following animation demonstrates the divide-by,