What is 45/75 Divided By 1/5

Solving $\frac{45}{75}\div\frac{1}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{75} \div \frac{1}{5} = \frac{45}{75} \times \frac{5}{1}$

• Multiply the Numerators: $45 \times 5 = 225$
• Multiply the Denominators: $75 \times 1 = 75$
• Form the New Fraction: $\frac{45}{75} \times \frac{1}{5} = \frac{225}{75}$

Let's Simplify $\frac{225}{75}$

• Find the Greatest Common Divisor (GCD) of $225$ and $75$. The GCD of $225$ and $75$ is $75$.
• Divide both the numerator and the denominator by the GCD:$\frac{225 \div 75}{75 \div 75} = \frac{3}{1}$

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

The following animation demonstrates the divide-by,