# High School Math : Simplifying Equations

## Example Questions

### Example Question #1 : Simplifying Equations

Simplify the fraction to the lowest terms: Cannot be simplified    Explanation:

Find the common multiple between the numerator and denominator. divide numerator and denominator by 3: divide numerator and denominator by 7: divide numerator and denominator by 4: Cannot be divided any more- lowest terms.

### Example Question #2 : Simplifying Equations

Solve the following equation for x in terms of the other variables:       Explanation: Multiply both sides by to get: Distribute the : Combine like terms: Divide both sides by : ### Example Question #3 : Simplifying Equations

Solve the following equation for x in terms of the other variables:       Explanation: Divide both sides by : ### Example Question #1 : Equations

If given the equation , with a positive integer, the result must be an integer multiple of:

8

10

2

5

12

The mathematical expression given in the question is . Adding together like terms, , this can be simplified to . The expression can be factored as . For every positive integer , must be a multiple of 5. If , then , which is not an integer multiple of 2, 8, 10, or 15. Therefore, the correct answer is 5. 