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Adding Fraction With Different Denominator. Definition. Common Denominator – When the fractions in an addition problem do not have the same denominators, rewrite the problem so that each fraction has the same denominator.

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## Adding Fraction With Different Denominator

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**Definition**• Common Denominator – When the fractions in an addition problem do not have the same denominators, rewrite the problem so that each fraction has the same denominator. • Lowest Common Denominator – A common denominator is a number that can be divided evenly by all the denominators in a problem. The smallest number that can be divided evenly by all the denominators in a problem. • Sometimes the largest denominator is a problem is the lowest common denominator.**Finding a Common Denominator**Here are two ways of finding a common denominator when the largest denominator in addition problem doesn’t work. • Multiply the denominators together. • Go through the multiplication table of the largest denominator.**2/5 + 3/4 =**Multiply the denominators. 5 X 4 = 20. 20 is the lowest common denominator (LCD). Raise each fraction to 20ths . Add the new fractions. Change the answer to a mixed number. 2/5 = 8/20 + 3/4 =15/20 23/20 = 1 3/20 Example 1**2/3 + 5/6 + 3/4 =**Go through the multiplication table of the 6’. 6 x 1 = 6, which cannot be divided by 4. 6 x 2 = 12, which can be divided by 3 and 4. Raise each fraction to 12ths. Add the new fractions. Change the answer to a mixed number and reduce. 2/3 = 8/12 5/6 =10/12 +3/4 = 9/12 27/12 = 2 3/12 = 2 1/4 Example2**3/5 + 2/3 =**3/7 + 1/3 = 1/4 + 3/5 + 7/10= 2/3 + 4/9 + 5/6 = 4 3/5 + 6 ¾ = 6 5/12 + 7 3/8 = Practice

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