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Smartest and Easiest Tips on How to Add Fractions

A fraction is a numerical quantity that is not a whole number. Examples of fractions include but are not limited to: 1/2, 1/4, 3/4 e.t.c

Note this;

A fraction is made up of a lower and an upper number.
 The lower number is referred to as the denominator while the upper number is referred to as the numerator.

For instance, this fraction 5/9 has 5 as its numerator while 9 is its denominator.

Now;

If you are asked to add two different fractions, all you have to do is to find the common denominator of the two fractions and use it to compute the numerator.

You should note that the denominator of fractions can be different and they can be the same.

That's just the short version of addition of fractions, let's get to the details.




1. First of all, write out the question (the fractions that you want to add) on the page that you will use to answer it.

For instance, assuming we were asked to add these two fractions,

1/3 + 2/3

I will first of all write it out to indicate to the examiner that I am answering that particular question.



2.  Write an equal to beside the end of the two fractions.
Example:
1/3 + 2/3 =


3. Draw a long line beside the "equal to" sign.
Example:
1/3 + 2/3 = ---------------------------


4. Multiply the lower numbers of both fractions.
Example:
3 × 3 = 9


5. Place the result of the multiplication that you just carried out below the line that you drew previously.
Example:
1/3 + 2/3 = /9


6.  Use the denominator of the first fraction to divide the result of the multiplication that you did previously.
9 ÷ 3 = 3


7. Use the result of the division above to multiply the numerator of the fraction that you used for the division (which is the first fraction in this case).
Example:
3 × 1 = 3

8. After you have written down the result of the multiplication as the numerator, add the "plus" sign in front of it.
Example:
1/3 + 2/3 = 3 + /9 ( 3 plus --- all over 9)
The result of the second fraction will be added in that space where the dash is.


9. Repeat steps 6, 7 and 8 for the second fraction in the question. In the end, your math work could look like this.
Example:
1/3 + 2/3 = 3 + 6/9


10. Add the numerators after the "equal to" sign together.
Example:
9/9


11. Simplify your answer so that it will be in the lowest possible number it can be. This is done by dividing the numerator of what you got above by the denominator.
Example:
9 ÷ 9 = 1

Note:
As you can see, the answer to the above sample question is 1. What that implies is that the the result of the addition of fractions could be whole numbers. They could also be mixed fractions or just fractions.

Once the steps outlined above, you shouldn't worry about what the answer will be because you will get it correct.

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