# How do you simplify #\frac { \frac { x } { 10} - \frac { 5} { x } } { \frac { 1} { 5} + \frac { 1} { x } }#?

##### 1 Answer

Aug 27, 2017

Make all sub-fractions have the same denominator; cancel this off. Factor and reduce any remaining terms common to both sides of the overall fraction.

#### Explanation:

**Step 1:** Give all terms a common denominator (in this case,

**Step 2:** Cancel off this common denominator (with the condition that its value cannot be zero).

**Step 3:** Factor if requested/possible.

**Step 4:** Cancel any common factors (in this case, there are none).