Question

How do you change `9/12` to simplest form?

Answer 1

`3/4`

Explanation:

To express a fraction in `color(blue)"simplest form"` we need to find a number, the largest is preferable, that divides into both 9 and 12.
In this case the largest number that divides into both is 3.

Now we divide 9 and 12 by 3

`rArr9/12=(9÷3)/(12÷3)=3/4" in simplest form"`

Usually, the task of dividing both numbers by 3 is performed mentally, stroking out the number and replacing it by the value remaining after division.This is called `color(red)"cancelling"`

`rArr(cancel(9)^3)/(cancel(12)^4)=3/4`

Answer 2

`3/4`

Explanation:

We must first find the largest common factor of the numerator and the denominator. The factors of 9 are 1, 3, and 9. The factors of 12 are 1, 2, 3, 4, 6, and 12. So the greatest common factor of 9 and 12 is 3. So you divide both sides by 3. So the simplest form of `9/12` is `3/4`.