### Adding and subtracting fractions

In the ahead lessons, girlfriend learned that a **fraction** is part of a whole. Fractions display **how much** you have actually of something, prefer 1/2 of a tank that gas or 1/3 the a cup that water.

You are watching: 1/3 plus 1/3 equals

In real life, you might need to add or subtract fractions. Because that example, have you ever before walked 1/2 of a mile come work and then walked another 1/2 mile back? Or drained 1/4 that a quart of gas native a gas tank that had 3/4 that a quart in it? You probably didn't think about it in ~ the time, however these are instances of **adding** and **subtracting** fractions.

Click with the slideshow to learn just how to set up addition and subtraction problems with fractions.

Let's imagine the a cake recipe speak you to add 3/5 of a cup of oil come the batter.

You additionally need 1/5 that a cup the oil to grease the pan. To see just how much oil you'll require total, you have the right to **add** this fractions together.

When you include fractions, girlfriend just add the** top **numbers, or **numerators**.

That's since the **bottom** numbers, or **denominators**, present how numerous parts would certainly make a whole.

We don't want to adjust how countless parts do a totality cup (5). We simply want to discover out how numerous parts we need total.

So we only require to add the molecule of ours fractions.

We can **stack** the fractions so the numerators space lined up. This will make it less complicated to add them.

And that's every we need to do to collection up an enhancement example v fractions. Our fractions are currently ready to be added.

We'll carry out the same thing to collection up a subtraction example. Let's speak you had actually 3/4 of a tank the gas once you gained to work.

If you use 1/4 that a tank to journey home, how much will certainly you have actually left? We have the right to **subtract** these fractions to find out.

Just like as soon as we added, we'll **stack** our fractions to store the numerators lined up.

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This is due to the fact that we want to subtract 1 component from 3 parts.

Now that our instance is collection up, we're ready to subtract!

Try This!Try setting up these addition and subtraction problems with fractions. Don't try solving them yet!