What is 75/45 Divided By 4/9

Solving $\frac{75}{45}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{45} \div \frac{4}{9} = \frac{75}{45} \times \frac{9}{4}$

• Multiply the Numerators: $75 \times 9 = 675$
• Multiply the Denominators: $45 \times 4 = 180$
• Form the New Fraction: $\frac{75}{45} \times \frac{4}{9} = \frac{675}{180}$

Let's Simplify $\frac{675}{180}$

• Find the Greatest Common Divisor (GCD) of $675$ and $180$. The GCD of $675$ and $180$ is $45$.
• Divide both the numerator and the denominator by the GCD:$\frac{675 \div 45}{180 \div 45} = \frac{15}{4}$

Answer $\frac{75}{45}\div\frac{4}{9} = \frac{15}{4}$

The following animation demonstrates the divide-by,