m:7=6:21
You asked:
Solve \(m : 7=6 : 21\) for the variable \(m\).
MathBot Answer:
$$\begin{aligned}m &= 2\end{aligned}$$
Express both ratios as fractions. \[\frac{m}{7} = \frac{6}{21}\]
Cross-multiply and solve for the unknown. $$\begin{aligned}\frac{m}{7} &= \frac{6}{21} \\ 21 m &= 42 \\ m &&= 2 \end{aligned}$$