ADDING FRACTIONS

Step 1: Make sure the bottom numbers (the denominators) are the same Step 2: showroom the đứng đầu numbers (the numerators), put that answer over the denominator Step 3: Simplify the fraction (if possible)

Step 1. The bottom numbers (the denominators) are already the same. Go straight khổng lồ step 2.

Bạn đang xem: Adding fractions

Step 2. Add the vị trí cao nhất numbers và put the answer over the same denominator:


1 4 + 1 4 = 2 4 = 1 2
*

... And do you see how 2 4 is simpler as 1 2 ? (see Equivalent Fractions.)

Example:


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

1 3 + 1 6 = ?

We need to make them the same before we can continue, because we can"t showroom them lượt thích that.

The number "6" is twice as big as "3", so to lớn make the bottom numbers the same we can multiply the top and bottom of the first fraction by 2, like this:

× 2

× 2

Important: you multiply both top và bottom by the same amount,to keep the value of the fraction the same

Now the fractions have the same bottom number ("6"), & our question looks like this:


2 6 + 1 6

The bottom numbers are now the same, so we can go to lớn step 2.

Step 2: add the đứng top numbers and put them over the same denominator:

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

In picture form it looks like this:

2 6 + 1 6 = 3 6

Step 3: Simplify the fraction:

3 6 = 1 2

In picture form the whole answer looks lượt thích this:

2 6 + 1 6 = 3 6 = 1 2

With Pen and Paper

And here is how to vì it with a pen và paper (press the play button):


*

Play with it!

Try Adding Fractions Illustrated.

Xem thêm: Cách Đếm Ngày Yêu Trên Máy Tính Ngày Yêu Nhau Trên Máy Tính, ‎Đếm Ngày Yêu


A Rhyme to Help You Remember

♫ "If adding or subtracting is your aim,The bottom numbers must be the same!♫ "Change the bottom using multiply or divide,But the same lớn the đứng đầu must be applied,♫ "And don"t forget to simplify,Before its time lớn say good bye"

Example:

1 3 + 1 5

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

1 3 + 1 5 = ?
*

But let us try dividing them into smaller sizes that will each be the same:

5 15 + 3 15

The first fraction: by multiplying the top and bottom by 5 we ended up with 5 15 :

× 5

1 3 = 5 15

× 5

The second fraction: by multiplying the top & bottom by 3 we ended up with 3 15 :

× 3

1 5 = 3 15

× 3

The bottom numbers are now the same, so we can go ahead and add the đứng đầu numbers:

5 15 + 3 15 = 8 15
*

The result is already as simple as it can be, so that is the answer:

1 3 + 1 5 = 8 15

Making the Denominators the Same

In the previous example how did we know lớn cut them into 1/15ths khổng lồ make the denominators the same? We simply multiplied the two denominators together (3 × 5 = 15).

Read about the two main ways to lớn make the denominators the same here:

They both work, use which one you prefer!


*

Example: Cupcakes

You want to lớn make và sell cupcakes:

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

How much is that altogether?

We need to add 1/3 và 1/4


13 + 14 = ??

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

Multiply top and bottom of 1/3 by 4:


1×43×4 + 14 = ??

And multiply top and bottom of 1/4 by 3:


1×43×4 + 1×34×3 = ??

Now vì the calculations:


412 + 312 = 4+312 = 712

Answer: 7 12 of sales go in ingredients và market costs.


Adding Mixed Fractions

We have a special (more advanced) page on Adding Mixed Fractions.


930,931, 1399,932, 1400,933, 1401, 1402, 3564, 3565
Introduction to Fractions Simplifying Fractions Equivalent Fractions Least Common Multiple Least Common Multiple Tool Least Common Denominator Subtracting Fractions Multiplying Fractions Dividing Fractions Fractions Index