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# Solving Equations using Common Denominators

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### Solving Equations using Common Denominators

1. 1. Solving Equations Multiplying by a Common Denominator
2. 2. Goal/Rule <ul><li>Goal: To find the value of the variable </li></ul><ul><li>Rule: Use inverse operations to isolate the variable </li></ul>
3. 3. Why? <ul><li>Multiplying by a common denominator eliminates the fractions! </li></ul>
4. 4. Situation 1 =>
5. 5. Situation 1 <ul><li>What is the only denominator? </li></ul>
6. 6. Situation 1 <ul><li>Multiply both sides by 5. </li></ul>
7. 7. Situation 1 / /
8. 8. Situation 2 <ul><li>What is the common denominator? </li></ul>
9. 9. Situation 2 <ul><li>Multiply every term in the problem by 4. </li></ul>
10. 10. Situation 2 / / / / 2
11. 11. Example 1
12. 12. Example 1 / / S=21
13. 13. Example 2
14. 14. Example 2 / / / / 2 3
15. 15. Review Situation 1 <ul><li>Multiple all terms by the denominator </li></ul><ul><li>Keep numerator as is </li></ul>
16. 16. Review Situation 2 <ul><li>Multiply all terms by the common denominator </li></ul><ul><li>Eliminate all fractions </li></ul>