How To Add Fractions

Adding fractions is not as difficult as you think. With only a few steps involved, you will know how to add fractions in a matter of minutes! So let’s start.

In order to add any fraction, the denominator of the fractions that you are adding together must be the same. The denominator is the number at the bottom of the fraction. The easiest way of making the denominators the same is by simply multiplying them.

Another way is to see if the denominators divide into each other. If they do, then keep the larger denominator fraction the same, and multiply the smaller denominator fraction to make it the same as the larger denominator fraction.

For example you have the fractions 2/3 and 3/9. Now the denominators 3 and 9 divide into each other. Because 9 is the larger denominator, we keep that fraction the same. We then multiply the denominator of the other fraction to get to 9, so we multiply 3 by 3.

However you must remember one rule, whatever you do to the denominator, you must do to the numerator. So if you multiply the denominator by 3, you must multiply the numerator by 3.

 For example take the fraction 3/5. We multiply the denominator by 3 to get 15 as the new denominator. We then have to multiply the numerator by 3 also. This gives us 9 as the new numerator. So our final fraction 9/15

Once you have made the denominator the same of both fractions, you simply add the numerators together. The numerator is the number at the top of the fraction. However, when you add the two fractions together, the denominator stays the same. Let’s do an example.

Example of How To Add Fractions

Add the following fractions together:
2/5 + 3/15
The first step is to get the denominators the same. Now we could multiply the denominators, but there is no need as 15 and 5 divide into each other. So we just multiply the first fraction so it’s denominator becomes 15.
So we multiply 5 by 3 to get our new denominator. But remember, we must do to our numerator whatever we do to our denominator. Our numerator is 2, so we also multiply this by 3 to get 6 as the new numerator. So our new fraction is 6/15.

So now this is what it looks like:

6/15 + 3/15

Now we just need to add the numerators together, and keep the denominator the same. So we add 6 and 3 to give us 9 which is the final numerator. The denominator stays the same so our final answer is 9/15! Easy as that!

If it didn’t make sense, then have another read. It should make sense after a second read.

Thanks for reading, hope it helped!

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