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# Adding Fractions With Unlike Denominators

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Learn how to add and subtract fractions with unlike denominators

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### Adding Fractions With Unlike Denominators

1. 1. M5N4 g. Add and subtract common fractions and mixed numbers with unlike denominators. <br />How to add and subtract fractions with unlike denominatorsCreated by: Sarah Hallum<br />
2. 2. Step 1<br />Find the Least Common Multiple for the two denominators.<br />Definitions:<br />Denominator-bottom number in fraction<br />Multiple-the answer to a multiplication problem between two whole numbers. Ex. 5-5, 10, 15, 20<br />Least Common Multiple-the first multiple two numbers have in common. Ex. 5-5, 10, 15, 20, 25<br /> 4-4, 8, 12, 16, 20, 24<br />LCM is 20.<br />
3. 3. Step 1<br />Find the Least Common Multiple for the two denominators.<br />1<br />2<br />1<br />3<br />LCM=6<br />2-2, 4, 6, 8, 10<br />3-3, 6, 9, 12, 15<br />
4. 4. Step 2<br />Make equivalent fractions that have the LCM as the denominator.<br />Definitions:<br />Equivalent Fraction-A fraction that is the same value as another fraction but different pieces<br />Example:<br />1 2<br />2 4<br />
5. 5. Step 2<br />Make equivalent fractions that have the LCM as the denominator.<br />LCM=6<br />1<br />2<br />1<br />3<br />1<br />3<br />2<br />2<br />2<br />6<br />
6. 6. Step 2<br />Make equivalent fractions that have the LCM as the denominator.<br />LCM=6<br />1<br />2<br />1<br />3<br />1<br />3<br />3<br />3<br />2<br />6<br />
7. 7. Step 3<br />Add or subtract the new, equivalent fractions together.<br />3<br />6<br />2<br />6<br />5<br />6<br />
8. 8. Step 4<br />Simplify your answer.<br />Definitions:<br />Simplify-make your fraction as simple as possible<br />6<br />9<br />3<br />3<br />2<br />3<br />
9. 9. Step 4<br />Simplify your answer.<br />5<br />6<br />1<br />1<br />5<br />6<br />5=1, 5<br />6=1, 2, 3, 6<br />
10. 10. Answer<br />1<br />2<br />1<br />3<br />5<br />6<br />
11. 11. Let’s Practice<br />2/3 + 2/7<br />½ +2/9<br />1/5 + ¾<br />1/3 + ¼<br />2/4 + ½<br />Check your answers on the next page.<br />
12. 12. Answer Key<br />2/3 + 2/7 = 20/21<br />½ +2/9 = 13/18<br />1/5 + ¾ = 19/20<br />1/3 + ¼ = 7/12<br />2/4 + ½ = 4/4, 1<br />
13. 13. Final Note<br />If you would like more practice, then click on the image below.<br />