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**Subtracting Mixed Numbers**

with Regrouping

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**Steps for solving subtraction of mixed numbers with unlike denominators:**

Find the LCD Write equivalent fractions Subtract the fractions, regroup(borrow) if necessary, then subtract the whole numbers Simplify the answer

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LowestTerms LCD Problem = Equivalent Fraction 3 5 4 5 - 3 2 5

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**4 5 4 4 4 4 3 1 4 = = LCD + – – Problem = Equivalent Fraction**

LowestTerms LCD Problem = Equivalent Fraction 4 5 4 4 = + 4 4 – – 3 1 = 4

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LowestTerms LCD Problem = Equivalent Fraction 3 5 8 13 x 1= 8 – 8 4-4,8 3 4 = = + 8 8 8 x 1= 6 x 2= 6 2 2 LCD = 8 – = 8 – 8 x 2= 7 1 8

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