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# Adding And Subtracting Fractions With Different Denominators

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### Adding And Subtracting Fractions With Different Denominators

1. 1. Adding and Subtracting Fractions With Different Denominators By: MP
2. 2. Adding Fractions With Different Denominators
3. 3. 2/3 + 3/4 = x Once you get your question, try to represent it in a way that it will be easier to understand or picture the question. Understanding the Problem
4. 4. Finding The Common Denominator To find the common denominator, make a list of all the factors in each denominator, until you find a factor that is common in each denominator (try to look for the least common denominator). 3: 3, 6, 9,12, 18, 21, 24 4: 4, 8, 12, 16, 24, 28, 32, 36 In this problem, the common denominator is 12.
5. 5. Representing The Common Denominator 4/12 + 9/12 = x Now that you have converted your question in a way that they have the same denominator, you can add.
6. 6. Adding The Question To add the question you add the numerator and leave the denominator. 8/12 + 9/12 = 17/12 Although, this question doesn’t look right it will make more sense if you make your sum into a mixed fraction. To make the sum into a mixed fraction, divide the numerator into the denominator.
7. 7. Making It Into A Mixed Number Since the sum is an improper fraction, you have to make it into a mixed number. A mixed number is a number with a whole number and, a fraction that is not improper. 17/12 as a mixed number is 1 5/12 You get this mixed number by dividing the denominator by the numerator, or subtracting the denominator by the numerator.
8. 8. Subtracting Fractions With Different Denominators
9. 9. Understanding the Problem 2/3 – 4/7=x Once you get your question, try to represent it in a way that you would understand it better (i.e. a table).
10. 10. Finding The Common Denominator <ul><li>To find the common denominator, make a list of all the factors in each denominator, until you find a factor that is common in each denominator (try to look for the least common denominator). </li></ul>3: 3 6 9 12 15 18 21 7: 7 14 21 In this problem, the common denominator is 21.
11. 11. Representing The Common Denominator 14/21- 12/21=x Now that you have converted your question in a way that they have the same denominator, you can subtract.
12. 12. Subtracting The Problem To subtract your question, subtract the numerators and leave the denominators. 14/21- 12/21= 28/21 Although, this question doesn’t look right it will make more sense if you make your sum into a mixed fraction.
13. 13. Making It Into A Mixed Number <ul><li>Since the sum is an improper fraction, you have to make it into a mixed number. </li></ul><ul><li>A mixed number is a number with a whole number and, a fraction that is not improper. </li></ul>28/21 as a mixed number is 117/21 or 1 1/3 You get this mixed number by dividing the denominator by the numerator, or subtracting the denominator by the numerator.