how do you add/subract fractions?

Question

with integers and without

Answer 1

Take all the numbers that you have and make them into fractions. A fraction is made up of two numbers the "numerator" (on the top) and the "denominator" (on the bottom).

If you have integers, then just use the integer as the numerator and "1" as the denominator... so 5 = 5/1

Next, you'll need to make all the fractions have the same denominator. To do this, follow the following sequence:

a/b + c/d = (a*d)/(b*d) + (c*b)/(d*b)

Since the first fraction is multiplided by d/d and the second by b/b, each fraction was effectively multiplied by 1 and their values didn't change.

If you have 3 or more fractions, just work in pairs...
a/b + c/d + e/f = (a*d*f)/(b*d*f) + (c*b*f)/(d*b*f) + (e*b*d)/(f*b*d)

1/3 + 1/2 + 3/5...
10/30 + 15/30 + 18/30

When you add an integer, it's same deal
1/3 + 1...
1/3 + 1/1...
1/3 + 3/3

After you have a common denominator, just add the numerators.

2/6 + 3/6 = 5/6
10/30 + 15/30 + 18/30 = 42/30
1/3 + 3/3 = 4/3

Finally, simplify your answer by reducing it to its lowest form. The fastest way you do this is by looking at the numerator and denominator, and if the numerator is larger than the denominator, you can subtract the denominator from the numerator and add 1 before the fraction... do this as many times as needed until the numerator is smaller than the denominator. Then, find a number that both the numerator and the denominator are divisible by and divide both the numerator and the denominator by that number... do this until the only number that both the numerator and denominator can be divided by is 1.

5/6 = 5/6
42/30 = 1 12/30 = 1 6/15 = 1 2/5
4/3 = 1 1/3

32/10 = 1 22/10 = 2 12/10 = 3 2/10 = 3 1/5

Hope this helps...

Answer 2

As one of the the other answers says, you need to have a common denominator. So, for example:

1/2 + 1/3
1. Find common denominator. You can do this by multiplying the two denominators together: 2 x 3 = 6

2. convert each of the fractions to have the common denominator:
1/2 x 3/3 = 3/6
1/3 x 2/2 = 2/6

3. Add the numerators. The denominator will stay the same:
3/6 + 2/6 = 5/6

Answer 3

Fractions have two parts; a numerator (the top bit) and the denominator (the bottom part).

To add or subtract them, you need to work out the lowest common denominator, and multiply both numerator and denominators so they both have the same LCD.

So, for example, if you were trying to add 3/5 + 2/3, you look for the LCD, which is 15.

3 x 3 / 5 x 3 yields 9/15; 2 x 5 / 3 x 5 yields 10/15.

9/15 + 10/15 = 19/15, or 1 4/15.

And this is Yahoo Answers, not Yahoo Disparageents. Give the guy a break, please.

Answer 4

what I do to add is just look for the lower common denominator(LCD) and then divide by the denominator then multiply the result with the numerator and add the results ex. 5/6 + 3/7 = LCD is equal to multiplying 6*7 = 42 then you divide that by 6 (42/6) them multiply b 5 (42/6)= 7 * 5 = 35 (35 + 18)/42 and do the same with the next fraction and you'll get 53/42 final answer and do the same when you subtract instead you would have to subtract...good luck

Answer 5

You need to make the denominators equal and add the numerator and leave the denominator the same.

Integers like:
5 1/2 would just be 10/2 + 1/2 = 11/2

Good luck.

Answer 6

I learned that in 3rd grade!!! How is this in Higher University.

Answer 7

you got to give me a problem to work with Please choose me as best answer look at my face

Answer 8

with a calculator !

Answer 9

http://en.wikipedia.org/wiki/Fraction_(mathematics)

BTW, please choose me as best answer.