7. Addition and Subtraction of Fractions
Recall that to add or subtract fractions, we need to have the same denominator.
Example 1
Add the fractions: `2/3+4/15`
Solution: Here, the lowest common denominator which we can use is `15`. So we have:
`2/3+4/15=10/15+4/15=14/15`
Subtraction works in the same way, as we see in the next example.
Example 2
`6/7-5/14`
Example 3
`a/(6y)-(2b)/(3y^4)`
Example 4
`(x-1)/(2x^3-4x^2)+5/(x-2)`
Exercises
Simplify the following.
(1) `2/(s^2)+3/s`
(2) `5+(1-x)/2-(3+x)/4`
(3) `5/(6y+3)-a/(8y+4)`
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