Question

How can equivalent fractions be identified?

Answer 1

If you cross multiply you will get the same answer from equivalent fractions,

Explanation:

You can check in one step whether fractions are equivalent or not.

Consider `2/3 and 8/12`

If they are equivalent fractions, when you cross multiply you will get the same product each time:

`color(blue)(2)/color(red)(3) and color(red)(8)/color(blue)(12)`

`color(blue)(2xx12) and color(red)(3xx8)`

`color(blue)(24) = color(red)(24)`

Therefore the fractions are equivalent.

Consider:

`5/9 and 6/11" "larr` both are slightly more than `1/2`

`55 !=54`

The fractions are not equivalent.