Question

solve for n.
\frac{2}{3}n = 4
n = \square

Explanation:

Step1: Isolate the variable \( n \)

To solve for \( n \) in the equation \( \frac{2}{3}n = 4 \), we need to isolate \( n \). We can do this by multiplying both sides of the equation by the reciprocal of \( \frac{2}{3} \), which is \( \frac{3}{2} \).

$$ \frac{3}{2} \times \frac{2}{3}n = 4 \times \frac{3}{2} $$

Step2: Simplify both sides

On the left side, \( \frac{3}{2} \times \frac{2}{3} = 1 \), so we are left with \( n \). On the right side, \( 4 \times \frac{3}{2} = \frac{12}{2} = 6 \).

Answer:

\( n = 6 \)