Question

chose the correct solution to the equation \\(\frac{x}{4} = 2.25\\)

Explanation:

Step1: Multiply both sides by 4

To solve for \( x \) in the equation \( \frac{x}{4} = 2.25 \), we multiply both sides of the equation by 4. This is because multiplying by the reciprocal of the coefficient of \( x \) (which is \( \frac{1}{4} \)) will isolate \( x \). The reciprocal of \( \frac{1}{4} \) is 4, so we have:
\( \frac{x}{4} \times 4 = 2.25 \times 4 \)

Step2: Simplify both sides

Simplifying the left - hand side, \( \frac{x}{4} \times 4=x \). Simplifying the right - hand side, \( 2.25\times4 = 9 \). So we get \( x = 9 \).

Answer:

\( x = 9 \)