Adding and Subtracting Fractions without a Common Denominator
Example 6
Subtract
The LCD is 18(x + 4)
multiply to get an LCD of
multiply to get an LCD of
subtract the numerators | |
over the LCD | |
distrubte the – | |
combine like terms in the numerator
Example 7
Subtract
factor each denominator
The LCD is 3x(x −2)
multiply to get an LCD of
multiply to get an LCD of
subtract the numerators | |
over the LCD | |
distrubte the – | |
combine like terms in the numerator
Example 8
Subtract
The LCD is (x −1)(x −2)
multiply to get an LCD of
multiply to get an LCD of
subtract the numerators | |
over the LCD | |
distrubte the – | |
combine like terms in the numerator
Factor the numerator
Does not reduce
Example 9
Subtract
factor each denominator
The LCD is 6(x +1)(x −1)
multiply to get an LCD of
multiply to get an LCD of
subtract the numerators | |
over the LCD | |
distrubte the – | |
combine like terms in the numerator