how to add and subtract improper fractions?

Question

Ok i'm not too sure on this and it some how baffles me ....
Someone help ^-^'

Answer 1

First make the fractions to be added to have the same denominatoer.

Adding improper fractions with similar denominators is easy. Simply add the numeratoer and retain the denominator....say 11/7 + 12/7 = 23/7.

For dissimilar denominator, you have to find the least common factor for the 2 denominators to make them similar. This is little tricky compared to the other. Lets have 4/3 + 7/5 as example here. You have to look for the LCD... look for a number that can divide for 3 and five and that number must be the smallest possible. Say 15... convert the two fractions to make both the denominator 15.

To convert 4/3 to have a 15 denom, divide 15 by 3 and multiply by 4 to get the numerator which is 20. Now, the new fraction is 20/15 for 4/3.

Convert the other addend which is 7/5. DO similar procedure. Divide 15 by 5 and multiply by 7. This will give us the second fraction's numerator which is 21. You have 21/15 now.

Now there is a common denominator which is 15. Now you can perform the addition similar to improper fractions with similar denominator. Add 20/15 and 21/15 now and yu get the answer which is 41/15.

For more learning, visit this site: http://argyll.epsb.ca/jreed/math8/strand1/1203.htm

Answer 2

Adding Improper Fractions

Answer 3

How To Add Improper Fractions

Answer 4

first find the greatest common factor of the denominators (bottom number). Then multiply the first fraction's denominator to the the gcf. Next, multiply the first fraction's numerator (top number) by the same number as you did to the denominator. Do the same with the other fraction. Then add or subtract.

Example 1. : 7/6+6/5=?
the gcf of 6 and 5 is 30
so:7*5 /6*5 + 6*6/5*6=?
35/30+36/30=?
71/30=?

Example 2. : 6/5-7/6=?
the gcf of 6 and 5 is 30
so:6*6 /5*6 - 7*5/6*5=?
36/30-35/30=?
1/30=?

Answer 5

Another way to look at it is to find the common denominator.

4/3 + 9/4
Common denominator is 12 because 3 and 4 both go into 12.
4/3 = 16/12
9/4 = 27/12

So 16/12 + 27/12 = 23/12

Do subtraction the same way.

Answer 6

make the denominators the same, just as with any fraction

adding
10/7 + 5/3 = (10*3 + 5*7)/3*7 = 51/21

subtracting
10/7 - 5/3 = (10*3 - 5*7)/3*7 = -5/21

Answer 7

7/8 + 1 1/4

Answer 8

RE:
how to add and subtract improper fractions?
Ok i'm not too sure on this and it some how baffles me ....
Someone help ^-^'