2 Complex FractionsA complex fraction is a fraction that has a fraction in its numerator or its denominator or both.Examples:
3 Simplifying Complex Fractions Method 1: Simplify the fraction by doing the operation indicated, then simplify.Method 2: Eliminate the smaller fractions by multiplying both numerator and denominator by the LCD of the entire fraction.
4 Example 1 – Method 1Division was the initial operation indicated. To perform this division, remember to multiply the numerator by the reciprocal of the denominator and then reduce.
5 Example 1 – Method 2The LCD for the entire fraction is n3 because we are looking at n and n3. After you multiply both numerator and denominator by this LCD, just reduce.
6 Example 2 – Method 1Do the operation indicated and subtract the two terms in the numerator. Then rewrite the division as a multiplication problem and simplify.
7 Example 2 – Method 2Multiply both numerator and denominator by LCD of the entire fraction ( t ) and then simplify.