x/2:3=5:6
You asked:
Solve \(\frac{x}{2} : 3=5 : 6\) for the variable \(x\).
MathBot Answer:
$$\begin{aligned}x &= 5\end{aligned}$$
Express both ratios as fractions. \[\frac{\frac{1}{2} x}{3} = \frac{5}{6}\]
Cross-multiply and solve for the unknown. $$\begin{aligned}\frac{\frac{1}{2} x}{3} &= \frac{5}{6} \\ 3 x &= 15 \\ x &&= 5 \end{aligned}$$