Solve for $\mathrm{m}$. \[ \frac{16}{13}=\frac{m}{14} \] $m=\square$ (Type an integer or a simplified fraction.)

Step 1 ：Cross multiply the fractions to get \(16 \times 14 = 224\) and \(13 \times m = 13m\), so we have \(224 = 13m\)

Step 2 ：Divide both sides by 13 to solve for m, so \(m = \frac{224}{13}\)

Step 3 ：\(\boxed{m = \frac{224}{13}}\)