Adding and Subtracting Rational Expressions

Each of the problems below is a link. If you click on the problem, it will take you to a YouTube video of a full, step-by-step solution for the problem. You may try these problems as practice and use the videos to check your answer, or you can just watch the videos to see more worked-out example problems.

Add and simplify, if possible: 3 over 2x + 5 over 2x
Add and simplify, if possible: the fraction with numerator y + 4 and denominator 10z, plus the fraction with numerator y + 2 and denominator 10z
Subtract and simplify, if possible: the fraction with numerator 16x minu 25 and denominator x minus 3, minus the fraction with numerator 4x + 11 and denominator x minus 3
Subtract and simplify, if possible: the fraction with numerator 3t and denominator t squared + 2t minus 3, minus the fraction with numerator 3 and denominator t squared + 2t minus 3
Add and simplify, if possible: 3t over 4 + 2t over 3
Add and simplify, if possible: 11 over 16a + 3 over 4a squared
Subtract and simplify, if possible: 7 over 8b squared minus 5 over 6b cubed
Subtract and simplify, if possible: 5 over p, minus q
Add and simplify, if possible: the fraction with numerator 16 and denominator x squared minus 16, plus the fraction with numerator 2 and denominator x + 4
Subtract and simplify, if possible: 2 over x minus the fraction with numerator 4 and denominator x minus 3
Add and simplify, if possible: the fraction with numerator 1 and denominator x + 4, plus the fraction with numerator 2 and denominator x squared + 6x + 8
Subtract and simplify, if possible: the fraction with numerator 7 and denominator 2y minus 14, minus the fraction with numerator 1 and denominator y squared minus 14y + 49