# How To Add and Subtract Fractions

Adding and subtracting fractions are important skills to have.From elementary school through college, fractions show up in daily life.If you follow the steps, you can learn how to add and subtract them.The rest is pretty easy if you know one way.

### Step 1: Take your equation and write it down.

Put the same number as the denominator for your answer if the two fractions are identical.In other words, 1/6 and 2/6 does not need to be written.It is possible to write it as 1 + 5.It can only be written once, because the denominator is the same.The numerators went on top.

### Step 2: The numerators should be added together.

The top number is the "numerator".1 and 2 are our numerators, if we take the above example.You answer should be the same: 3!1 + 2 is the same as 3.

### Step 3: The denominator needs to be left alone.

Don't do anything with it since you're working with one constant denominator.Don't add, subtract, multiply, or divide.Leave it be.The denominator is 5.That's all!The bottom number is our fraction.Half the answer has already been answered.

### Step 4: You have to come up with an answer.

Write out your numerator and denominator.If you follow the above example, you will get the answer to the problem.What was the numerator?3.The reason?5.1/6, 2/6, or 1/2, equals.

### Step 5: You can find the lowest common denominator.

Both denominators have the same lowest number.The fractions are 1/3 and 1/3.Do you know what the denominators are?There are 3 and 4.You can find the lowest common denominator by writing out the multiples.There are multiples of 3, 6, 9, 12, 15, and so on.The multiples of 4?There were 4, 8, 12, 16, 20, and so on.What is the lowest number seen in both sets?12!That's your lowest common denominator.There is a prime factorization.You can do prime factorization if you know what factors are.What numbers make your denominators?The factors are 3 and 1.2 and 2 are the factors for 4.You add them together.There are 2 x 2 and 12.Your liquid crystal display!For small numbers, Multiply the numbers together.In some cases, you could just add up the numbers together.Don't do this if your denominators are large.If you have to work with 2,464 as your answer, you don't want to use 56 x 44.

### Step 6: The number needed to get the LCD is the denominator.

You want your denominators to be the same number.Our goal is for our denominator to be 12.You need 3 x 4 to turn 3 into 12.You need 4 x 3 to turn 4 into twelve.Your final answer will be the result of the like denominator.Our 1/3 turns into 1/3 x 4 and 1/3x 3.We have 2 and 3.We're not done yet.The denominators are multiplied by each other.This works in some situations.If you want to get one small number, you can divide the two denominators by different numbers.Sometimes you don't have to add the other fraction to make it equal to the one in the equation.

### Step 7: Multiple the numerator by that number as well.

You have to add the numerator and the denominator by the same number.We only did half of the multiplication needed in the last step.To add the second step, we used 1/3x4 and 1/2x3 as our first two steps.Our new numbers are 8/12 and 9/12.Perfect!

All you have to do is add the numbers.Now is the time to leave the denominator alone.The number you got is the final one.For this example, 17/12 is the number.If you subtract the numerator from the denominator, you can see what's left over.17/12/12 is the number in this case.

### Step 9: You can convert your mixed fractions to improper fractions.

A mixed fraction is when you have a whole number and a fraction.An improper fraction is one where the numerator is bigger than the denominator.That can also be seen in the above step.Let's work with 13 and 17 in this example.

### Step 10: The common denominator can be found.

There are three ways to find the LCD.By either writing out the multiples or using prime factorization.We need to figure out the multiples of our example.What is the smallest number these two numbers go into?There is a new date for 24.There are eight, 16 and 24 bingo games.

### Step 11: To get your like fraction, multiply your numerators and denominators.

The two denominators need to be turned into 24.How are you able to get 12 to 24?Divide it by 2.Is it 8 to 24?ply it by three.You need to multiply the numerators as well.26/24 is the number of the 13 and 2.51/24 is the number of the 17 x 3/8 x 3.We're on our way to solve the problem.

### Step 12: Add or subtract fractions.

You can add the two numbers together with ease if you have the same denominator.The denominator should be left alone.The number is 77/24.There's only one fraction.The top number is large.

### Step 13: Your answer will be converted into a mixed fraction.

It's weird that you can't tell the size of your fraction with such a large number on top.If you put the denominator into the numerator until it can't be repeated again, you can see what you have left.For this example, 24 goes into 77 three times.24 x 3 is 72.There's 5 left!What is your final answer?That's all!

### Step 14: The fractions should be listed.

E.g.12 + 34 + 58.

### Step 15: The numerators should be solved first.

Multiply 1 by the total of the other fractions.Add up the number 1 to 4 and 8.It was [32]

### Step 16: You should do as to other fraction.

Multiply 3 with 2 and 8.Add up 5 with 4 and 2.40

32+48+40

248

1 56/64 is 1 78