What is 45/75 Divided By 9/4

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,