Simplifying Complex Fractions That Contain
Addition or Subtraction
You have already simplified some complex fractions. Now we will learn
how to simplify a complex fraction that contains addition or subtraction.
One way to begin is to carry out the addition or subtraction.
Procedure â€” To Simplify a Complex Fraction
That Contains Addition or Subtraction.
Step 1 Perform any addition or subtraction.
Step 2 Rewrite the complex fraction using a division symbol,
Ã·.
Step 3 Invert the second fraction and change the division symbol,
Ã·, to the multiplication symbol,
Â·.
Step 4 Factor the numerators and denominators.
Step 5 Cancel all pairs of factors common to the numerators and
denominators.
Step 6 Multiply the numerators. Multiply the denominators.
Example 1
Simplify:
Solution
Thus,
