Question

½ is 25% of what number?
\\(\frac{\quad}{\quad} = \frac{25\\%}{100}\\)

Explanation:

Step1: Define the variable

Let the unknown number be \( x \). We know that \( \frac{1}{2} \) is 25% of \( x \). In percentage problems, "of" means multiplication, so we can write the equation as \( \frac{1}{2}=0.25\times x \) (since 25% is \( 0.25 \) or \( \frac{25}{100} \)).

Step2: Solve for \( x \)

To find \( x \), we divide both sides of the equation \( \frac{1}{2} = 0.25x \) by \( 0.25 \). So \( x=\frac{\frac{1}{2}}{0.25} \). Calculating the right - hand side, \( \frac{1}{2}\div0.25=\frac{1}{2}\div\frac{1}{4}=\frac{1}{2}\times4 = 2 \).

Or using the proportion method from the given fraction. The proportion should be \( \frac{\frac{1}{2}}{x}=\frac{25}{100} \) (since 25% is \( \frac{25}{100} \)). Cross - multiplying gives \( 25x=\frac{1}{2}\times100 \). Then \( 25x = 50 \), and dividing both sides by 25, we get \( x = 2 \).

Answer:

The number is 2.