Complex Fraction

Definition of Complex Fraction

  • A complex fraction is a fraction that has one or more rational expressions in the numerator and/or denominator.
  • A complex fraction is a fraction that has one or more fractions in the numerator and/or denominator.

Examples of Complex Fraction

  •     are examples of complex fractions.

Solved Example on Complex Fraction

Find the least common denominator of the pair of the complex fractions.

.

Choices:

A. (x + 7)(x + 8)

B. (x + 8)

C. (x+ 15)

D. (x + 56)

Correct Answer: A

Solution:

Step 1: Find the highest power of each factor that appears in either denominator.

Step 2: (x + 7) and (x + 8), both are linear factors.

Step 3: So, the LCD of the given two complex fraction is (x + 7)(x + 8).

Related Terms for Complex Fraction

  • Fraction
  • Rational  Expression
  • Numerator
  • Denominator

Additional Links for Complex Fraction