# How do you simplify to tell whether the ratios 1/7, 2/14 form a proportion?

We can rewrite $\frac{2}{14}$ as:
$\frac{2}{14} \implies \frac{2 \times 1}{2 \times 7} \implies \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}} \times 1}{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}} \times 7} \implies \frac{1}{7}$