A lot of people are terrified when they are required to add fractions. Many even take out a calculator, convert the fractions to decimals and add them together that way. Don’t worry, though; adding fractions is not nearly as difficult as many make it appear. The best thing about knowing how to add fractions is that once you know how to add fractions, you can subtract them from each other just as easily.

This is very important: The key to adding fractions is to make sure that the denominators of the two fractions you are adding (the numbers on the bottom) are equal. This is not necessary for fraction multiplication, and thus it is a source of confusion for many.

Before you attempt to make the denominators the same, it is advisable to put both fractions in lowest terms (also called simplifying). Now, in order to make the denominators equal, you’re going to want to multiply each denominator by the opposite denominator. Keep track of what number you’re multiplying each denominator by, as you’ll need to multiply the numerator of the fractions by that number as well. Once you’ve done that, you simply add the numerators. In practice, this looks like 3/4+1/7=(7/7)*(3/4)+(4/4)*(1/7)=21/28+4/28=25/28

There are other ways to equalize the denominators, but this is a technique that works in all cases in which you are adding two fractions together. To add more than two fractions, it is easiest to add two together and then add that result to the third (that will keep the denominator “juggling” simple).

A lot of people are terrified when they are required to add fractions. Many even take out a calculator, convert the fractions to decimals and add them together that way. Don’t worry, though; adding fractions is not nearly as difficult as many make it appear. The best thing about knowing how to add fractions is that once you know how to add fractions, you can subtract them from each other just as easily.

This is very important: The key to adding fractions is to make sure that the denominators of the two fractions you are adding (the numbers on the bottom) are equal. This is not necessary for fraction multiplication, and thus it is a source of confusion for many.

Before you attempt to make the denominators the same, it is advisable to put both fractions in lowest terms (also called simplifying). Now, in order to make the denominators equal, you’re going to want to multiply each denominator by the opposite denominator. Keep track of what number you’re multiplying each denominator by, as you’ll need to multiply the numerator of the fractions by that number as well. Once you’ve done that, you simply add the numerators. In practice, this looks like 3/4+1/7=(7/7)*(3/4)+(4/4)*(1/7)=21/28+4/28=25/28

There are other ways to equalize the denominators, but this is a technique that works in all cases in which you are adding two fractions together. To add more than two fractions, it is easiest to add two together and then add that result to the third (that will keep the denominator “juggling” simple).

As mentioned earlier, subtracting fractions is just as easy. All you have to do is equalize the denominators and subtract the second numerator from the first numerator.