9.5 ADDITION, SUBTRACTION

, AND COMPLEX

FRACTIONS

ADDING/SUBTRACTING Just like with numeric fractions, must

first have a common denominator. Then, add/subtract the numerators and

place over the common denominator. Simplify if needed. Examples – like denominators:

YOUR TURN! Perform the indicated operation:

FINDING LIKE DENOMINATORS

1. Factor each denominator.2. Multiply until denominators match.

Example:

EXAMPLE Subtract:

YOUR TURN! Add:

Subtract:

COMPLEX FRACTIONS A complex fraction is a fraction that

contains a fraction in its numerator and/or denominator.

To simplify:1. Write the numerator and denominator

as single fractions2. Divide by multiplying by the reciprocal.

EXAMPLES Simplify:

YOUR TURN! Simplify: