What is 45/75 Divided By 6/4

Solving $\frac{45}{75}\div\frac{6}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{75} \div \frac{6}{4} = \frac{45}{75} \times \frac{4}{6}$

• Multiply the Numerators: $45 \times 4 = 180$
• Multiply the Denominators: $75 \times 6 = 450$
• Form the New Fraction: $\frac{45}{75} \times \frac{6}{4} = \frac{180}{450}$

Let's Simplify $\frac{180}{450}$

• Find the Greatest Common Divisor (GCD) of $180$ and $450$. The GCD of $180$ and $450$ is $90$.
• Divide both the numerator and the denominator by the GCD:$\frac{180 \div 90}{450 \div 90} = \frac{2}{5}$

Answer $\frac{45}{75}\div\frac{6}{4} = \frac{2}{5}$

The following animation demonstrates the divide-by,