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
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subtract the numerators |
over the LCD | |
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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