Question

What are the equivalent fractions to 3/7?

Answer 1

They can be: `6/14`, `9/21`, `12/28` and so on.

Explanation:

If you have a fraction `a/b` then any fraction `(ka)/(kb)` for a natural number `k` is equivalent to `a/b`, because it can be reduced by `k`.

Example:

`3/7=(3*2)/(7*2)=6/14`

`3/7=(3*3)/(7*3)=9/21`

Also if `a` and `b` have any common factors greater than `1` you can get other equivalent fractions by reducing original fraction by the factors. For example:

`9/12=(3*3)/(3*4)=3/4`.

So `3/4` is equivalent to `9/12`