step 1: Make sure the bottom number (the denominators) are the same Step 2: add the height numbers (the numerators), put that answer end the denominator step 3: leveling the portion (if possible)

Step 1. The bottom number (the denominators) are already the same. Go right to step 2.

You are watching: 1/3 plus 1/6

Step 2. Add the top numbers and put the answer end the exact same denominator:

 1 4 + 1 4 = 2 4 = 1 2 ... And do you see just how 2 4 is much easier as 1 2 ? (see identical Fractions.)

## Example:

Step 1: The bottom numbers space different. See how the slices are different sizes?

 1 3 + 1 6 = ?

We have to make castle the same prior to we can continue, due to the fact that we can"t include them like that.

The number "6" is twice as big as "3", for this reason to make the bottom numbers the exact same we deserve to multiply the top and bottom the the an initial fraction through 2, like this:

 × 2

 × 2

Important: you multiply both top and bottom through the same amount,to save the worth of the fraction the same

Now the fractions have the exact same bottom number ("6"), and also our inquiry looks choose this:

 2 6 + 1 6

The bottom number are now the same, therefore we can go to action 2.

Step 2: include the top numbers and put them over the very same denominator:

2 6 + 1 6 = 2 + 1 6 = 3 6

In picture type it looks prefer this:

 2 6 + 1 6 = 3 6

Step 3: leveling the fraction:

3 6 = 1 2

In picture type the totality answer looks like this:

 2 6 + 1 6 = 3 6 = 1 2

### With Pen and also Paper

And below is how to do it v a pen and paper (press the pat button): ## A happiness To aid You Remember

♫ "If adding or individually is her aim,The bottom numbers must be the same!♫ "Change the bottom using multiply or divide,But the very same to the top must be applied,♫ "And don"t forget to simplify,Before that time come say good bye"

## Example:

1 3 + 1 5

Again, the bottom number are different (the slices are different sizes)!

 1 3 + 1 5 = ? But allow us shot dividing them right into smaller size that will each it is in the same:

 5 15 + 3 15

The very first fraction: by multiply the top and bottom through 5 we ended up through 5 15 :

 × 5

 1 3 = 5 15

 × 5

The second fraction: by multiply the top and also bottom through 3 we finished up through 3 15 :

 × 3

 1 5 = 3 15

 × 3

The bottom numbers are now the same, so we have the right to go ahead and include the top numbers:

 5 15 + 3 15 = 8 15 The an outcome is already as an easy as it can be, so that is the answer:

1 3 + 1 5 = 8 15

## Making the platform the Same

In the previous instance how go we know to cut them into 1/15ths to make the platform the same? We just multiplied the two denominators together (3 × 5 = 15).

Read around the two key ways to do the platform the exact same here:

They both work, use which one girlfriend prefer! ### Example: Cupcakes

You desire to make and sell cupcakes:

A friend can supply the ingredients, if you give them 1/3 of sales and a market stall expenses 1/4 of sales

How much is the altogether?

We require to include 1/3 and 1/4

13 + 14 = ??

First do the bottom numbers (the denominators) the same.

Multiply top and also bottom the 1/3 by 4:

1×43×4 + 14 = ??

And main point top and bottom of 1/4 by 3:

1×43×4 + 1×34×3 = ??

Now carry out the calculations:

412 + 312 = 4+312 = 712

Answer: 7 12 that sales go in ingredients and also market costs.

See more: Prove That Square Root Of 6 Is The Square Root Of 6 Irrational Number