Question

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

Answer 1

See a solution process below:

Explanation:

We can rewrite `2/14` as:

`2/14 => (2 xx 1)/(2 xx 7) => (color(red)(cancel(color(black)(2))) xx 1)/(color(red)(cancel(color(black)(2))) xx 7) => 1/7`

Therefore, these two terms are the same and therefore form a proportion.