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# Adding and Subtracting Fractions with Like Denominators

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Learn how to add and subtract fractions that have common denominators.

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### Adding and Subtracting Fractions with Like Denominators

1. 1. Add and Subtract Fractions with Like Denominators Mrs. Young EMC 1
2. 2. Quick Review <ul><li>Denominator – the number at the bottom of the fraction. This number names the total number of parts that equals a whole </li></ul><ul><li>Like denominators </li></ul><ul><ul><li>This means that the denominators are the same (equal) </li></ul></ul><ul><ul><ul><li>Example: Look at the fractions below </li></ul></ul></ul>3 4 1 4 Both fractions have the same denominator – called like denominators and
3. 3. Add Fractions with Like Denominators <ul><li>Step 1 : Add the numerators. This sum becomes the numerator in your answer. </li></ul>3 4 + 1 4 = 4
4. 4. Step 2: <ul><li>Keep the same denominator that is in the problem. </li></ul>3 4 + 1 4 = 4 4
5. 5. Step 3: <ul><li>Simplify (reduce to the lowest terms) your answer </li></ul>4 4 = 1 Remember that in order to find the simplest form, you must find the greatest common factor of the numerator and the denominator. GCF = 4 ÷ ÷ 4 4
6. 6. Add Fractions with Like Denominators <ul><li>Step 1 : Add the numerators. This sum becomes the numerator in your answer. </li></ul>2 6 + 2 6 = 4
7. 7. Step 2: <ul><li>Keep the same denominator that is in the problem. </li></ul>2 6 + 2 6 = 4 6
8. 8. Step 3: <ul><li>Simplify (reduce to the lowest terms) your answer </li></ul>4 6 Remember that in order to find the simplest form, you must find the greatest common factor of the numerator and the denominator. GCF = 2 ÷ ÷ 2 2 = 2 3
9. 9. You try it! 5 10 + 3 10 = 13 22 + 3 22 =
10. 10. Subtract Fractions with Like Denominators <ul><li>To subtract fractions with like denominators, you follow the SAME steps as you did for addition, except you have to subtract! </li></ul>
11. 11. Step 1: <ul><li>Subtract the numerators. This sum becomes the numerator in your answer. </li></ul>3 4 - 1 4 = 2
12. 12. Step 2: <ul><li>Keep the same denominator that is in the problem. </li></ul>3 4 - 1 4 = 2 4
13. 13. Step 3: <ul><li>Simplify (reduce to the lowest terms) your answer </li></ul>Remember that in order to find the simplest form, you must find the greatest common factor of the numerator and the denominator. GCF = 2 2 4 ÷ ÷ 2 2 = 1 2
14. 14. Step 1: <ul><li>Subtract the numerators. This sum becomes the numerator in your answer. </li></ul>13 6 - 9 6 = 4
15. 15. Step 2: <ul><li>Keep the same denominator that is in the problem. </li></ul>13 6 - 9 6 = 4 6
16. 16. Step 3: <ul><li>Simplify (reduce to the lowest terms) your answer </li></ul>Remember that in order to find the simplest form, you must find the greatest common factor of the numerator and the denominator. GCF = 2 4 6 ÷ ÷ 2 2 = 2 3
17. 17. Your turn! 11 10 - 7 10 = 13 22 - 3 22 =