Question

What is 2/6 and 4/12 in simplest form?

Answer 1

Hello!

To write a fraction in the simplest form, we must divide the numerator and denominator by the same number as many times as possible.

Let me explain step by step to you understand it better:

a. 2/6

Notice that as the two numbers are multiples of two (even) we can simplify this fraction by two, look:

`(2/2)/(6/2)=(1)/(3)`

Now, there is no whole number that can divide both of them (numerator and denominator) at the same time. So we will stop here and say that this is the simplest form of this fraction.

b. 4/12

We can start dividing both by 2 (because it's even too):

`(4/2)/(12/2)=(2)/(6)`

Ops, we already calculated it on a.

Let's simplify it again:

`(2/2)/(6/2)=(1)/(3)`

Note: we can say that the fractions 4/12, 2/6, and 1/3 are equivalent.

Right answer: 1/3.