Question

solve for n.
\frac{3}{7}\left(n + \frac{1}{2}\
ight) = \frac{1}{4}
write your answer as a fraction or as a whole or mixed n
n =
submit

Explanation:

Step1: Eliminate coefficient of parentheses

Multiply both sides by $\frac{7}{3}$:
$$n + \frac{1}{2} = \frac{1}{4} \times \frac{7}{3}$$
$$n + \frac{1}{2} = \frac{7}{12}$$

Step2: Isolate $n$ by subtracting $\frac{1}{2}$

Rewrite $\frac{1}{2}$ as $\frac{6}{12}$ to subtract:
$$n = \frac{7}{12} - \frac{6}{12}$$

Step3: Compute the final fraction

Subtract the numerators:
$$n = \frac{7-6}{12}$$

Answer:

$\frac{1}{12}$