Adding Fractions With Different Denominators

Adding Fractions With Different Denominators

When adding fractions that have different denominators you should find a common denominator by either multiplying or dividing, for example:

1/2 + 6/10 =

1/2 x 5 = 5/10 

5/10 + 6/10 = 11/10 

11/10 is an improper fraction so you must find how much groups of 10 is in 11, 1 so there would be 1/10 left, so the answer would be 1 1/10 

If the question has wholes with the fraction (a mixed number) you should do the following:

5 7/8 + 3 2/4 =

5 + 3 = 8 (these are the wholes)

2/4 x 2 = 4/8 

7/8 + 4/8 = 11/8(an improper fraction)

Do as before when you have an improper fraction so you get a mixed number. And add the wholes in the end.

1 3/8 + 8 = 9 3/8 

Adding Fractions With Different Denominators

When adding fractions with different denominators, you must find a common denominator (you must  have equal denominators). To do that you must multiply the denominators. 2. Re-write the equivilant fraction to its new denominator. 3. and add the numerators. Dont forget to add the whole numbers.

Eg. 5 3/8 + 4 7/16=

5+4=9  (add the whole numbers)
3/8 x2= 6/16 (multiply the denominator and numerator)
6/16+7/16=13/16(Add the fractions)
9+13/16=9 13/16
Answer:9 13/16

Subtracting Fractions

Subtracting Fractions With Unlike Denominators

 You need to make the denominators the same (bottom of the fraction) using multiplication and you multiply ____ Over ____. Then you have to finish the question!

 

Here Is an Example Below!

 

 

Adding and Subtracting Fractions With Different Denominators

   Adding and Subtracting Fractions With Different Denominators

When you add a fraction with different denominators, you must first have to find a common denominator. When you are done figuring out what the common denominator is, you can add both fractions. Finding common denominators are easy, but it takes a lot of courage. You have to remember to do the same thing for both numerators and denominators.(what you do to the bottom, you always do to the top) After you do these steps, adding fractions would be easier for you.

Subtracting fractions is like doing adding fractions. The only different thing you have to do is to subtract. You use the same steps but instead of adding, you will do subtracting. As I said before, it will become easier when you practice and practice and it really takes  a lot of courage to do this.

After you figure out the answer to the fractions your adding or subtracting, before handing your work in, you will have to find it's lowest term. Lowest term means when you get a huge fraction and you find it's lowest term. You will then have to find what number your going to use to divide in order to get it's lowest term. I will show you an example below.

How to add fractions

Adding fractions is easy. Lets say we have 1/2+1/4. The denominators need to be changed because it is not the same. You can use 4 for both of them. But remember, whatever you do at the bottom, you have to do at the top. So it should be like this.


1/2+1/4= 3/4

(1/2x2)  2/4+1/4= 3/4


See? Adding fractions is very easy! Have fun learning!

How to convert a Mixed number to an Improper fraction

How to convert a mixed number to an improper fraction.

First you multiply the denominator with the whole number because that is how many equal pieces are in the whole. Then you add the product with the numerator because that is what's left. Then just copy the denominator.

For example:

That is how easy it is to convert a Mixed number to an Improper fraction!!!

Adding and Subtracting Fractions

When you add fractions with unlike denominators you need to make them common, to do that you need to multiply the denominators by 1, 2, 3, 4, 5, 6, etc. (anything that it can be multiplied by). When you do it to the bottom, you HAVE to do it to the top. Now you can simply do the equation. Don't forget to put your answer in lowest terms! When you add fractions with like denominators, you just need to solve the equation. NOTE; you need to put your answers in lowest terms (if it is not already) to do that you need divide it by 1, 2, 3, 4, 5, 6, 7, 8, etc. (anything that it can be divided by).


When you subtract fractions with like denominators, you simply answer the equation. Remember to put it in lowest terms if it's not already. When you subtract fractions with unlike denominators you need to make them common, to do that you need to multiply the denominators by any number that it can be divided by. When you do it to the bottom, you HAVE to do it to the top. Now simply add the equation. Don't forget; you need to put it in lowest terms, if it's not already!


Now you're done!

How to convert an Improper fraction into a mixed number

This is how to convert an Improper fraction into a mixed number

          So first you have to divide the numerator by the denominator Eg. (if the numerator is 8 and the denominator is 5 you divide 8 by 5 which is 1 and 3 extra) 

             If dividing confuses you you can subtract. To get  the mixed number by subtracting you have to subtract the numerator by the denominator until the numerator is smaller then the denominator for if the numerator is 28 and the denominator is 5 you subtract the 28 by 5 until it cannot be subtracted. So 28 subtracted by five is 23 then 18 then 13 then 8 then 3. 3 cannot be subtracted by 5 so 3 is the fraction. You still need the whole numbers so count how many times you subtracted. 5 28 was subtracted by 5, 5 times so the whole number is 5 and the fraction is 3/5 the mixed number is 5 and 3/5. 

                              So here are so more examples:                                   

Adding Fractions

How to add fractions with unlike denominators

You multiply the denominator number by the other denominator number (like so). What you do to the bottom, you always do at the top. 

If you get the same denominator, you're doing this correctly. Now you add the two fractions together. 

Is the answer in lowest terms? If the answer is not in lowest terms, you figure out if you have to divide it by 2, 3, 5, 10 or any other numbers that works. 

You do this process until you get the answer to be in lowest terms.

 Now you're done! Here's an example below.

Adding Fractions and Subtracting Fractions