Adding and subtracting algebraic fractions
Answers are for parents and teachers.
1
Compute 4/(3a) - 1/(6a).
7/(6a)
2
Simplify (m + 1)/m - (m - 1)/m.
2/m
3
Simplify 1/(a - 2) + 1/(a + 2).
2a/(a² - 4)
4
Simplify 3/(x - y) - 3/(x + y).
6y/(x² - y²)
5
Why is the numerator of a/c + b/c equal to a + b while the denominator is c, not 2c?
The denominator c names the size of the parts; we count equal parts, so the name does not change.