When it comes to addition operations of fractions, one must always ensure that the fractions are written with the same denominators. In the case of the fractions 1/3 and 4/12, we can see that the common denominator could be 3, 6 or 12. Therefore, to add the fractions, we can simply convert the fractions into the same denominator as follows for the 3 cases,

1 / 3 + 4 / 12 = 1 / 3 + (4 / 4) / (12 / 4) = 1 / 3 + 1 / 3 = 2 / 3 [ Common denominator of 3 ]

1 / 3 + 4 / 12 = (1 * 2) / (3 * 2) + (4 / 2) / (12 / 2) = 2 / 6 + 2 / 6 = 4 / 6 = 2 / 3 [ Common denominator of 6 ]

1 / 3 + 4 / 12 = (1 * 4) / (3 * 4) + 4 / 12 = 4 / 12 + 4 / 12 = 8 / 12 = 2 / 3 [ Common denominator of 12 ]

As can be seen, 1/3 + 4/12, simplified is simply 2/3. Of course there are an infinite number of common denominators that may be found to the two fractions, but for simplicity of calculations one normally always chooses the smallest common denominator.

I hope this answers your question and allows you to more easily perform addition operations of fractions in the future. Good luck!

In order to add two fractions, they must both have the same denominator (that is the number on the bottom of the fraction. In this case we can reduce the fraction 4/12 because both 4 and 12 can be divided by the number 4. When we do this the fraction 4/12 becomes 1/3. Now understand we did not change the value of 4/12 because 1/3 equals 4/12, they are the same amount.

Now we can add 1/3 + 1/3 to get 2/3 as your answer.

Another way to do this is to change the fraction 1/3 into an equal fraction that has 12 as the denominator. We do this by multiplying it times 4/4 (4/4 equals 1, so we are actually multiplying it times 1) 1/3 times 4/4 equals 4/12. Now we can add 4/12 + 4/12 to get 8/12, and 8/12 will reduce down to give us the same answer as before, 2/3.

The fraction 4/12 can be simplified to 1/3 so your equation 1/3 + 4/12 is the same as saying 1/3 + 1/3.

And 1/3 + 1/3 = 2/3.

Another way to do this is to find a common denominator, which is 12.

So, 1/3 + 4/12 = 4/12 + 4/12 = 8/12.

And the fraction 8/12 can be reduced to 2/3.

Hope this helps.

The fraction 4/12 can be simplified to 1/3 so your equation 1/3 + 4/12 is the same as saying 1/3 + 1/3.

And 1/3 + 1/3 = 2/3.

Another way to do this is to find a common denominator, which is 12.

So, 1/3 + 4/12 = 4/12 + 4/12 = 8/12.

And the fraction 8/12 can be reduced to 2/3.

Hope this helps.