Rational Expressions and Equations Playlist on YouTube

Use the technique outlined earlier to clear the fractions of a rational equation. After clearing the fractions, we will be left with either a linear or a quadratic equation that can be solved as usual.

**Step 1**: Factor the denominators.

**Step 2**: Identify the restrictions.

**Step 3**: Multiply both sides of the equation by the LCD.

**Step 4**: Solve as usual.

**Step 5**: Check answers against the set of restrictions.

**Tip**: It suffices to check that the answers are not restrictions to the domain of the original equation.

**Solve**.

**Solve for the specified variable**.

**Word Problem**: The reciprocal of the larger of two consecutive positive odd integers is subtracted from twice the reciprocal of the smaller and the result is 9/35. Find the two integers.

**Video Examples on YouTube**: