n:8 = 3:16
You asked:
Solve \(n : 8=3 : 16\) for the variable \(n\).
MathBot Answer:
$$\begin{aligned}n &= \frac{3}{2}\end{aligned}$$
Express both ratios as fractions. \[\frac{n}{8} = \frac{3}{16}\]
Cross-multiply and solve for the unknown. $$\begin{aligned}\frac{n}{8} &= \frac{3}{16} \\ 16 n &= 24 \\ n &&= \frac{3}{2} \end{aligned}$$