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

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Answer 1 · 2017-05-27T03:11:17

See a solution process below:

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.

How do you simplify to tell whether the ratios 1/7, 2/141/7, 2/14 form a proportion?