 # Fraction and Mixed Number Review (Add & Subtract).

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Fraction and Mixed Number Review (Add & Subtract)

Review – Improper fraction to mixed number Improper fraction – the numerator is larger than the denominator 34 15 = 4 2 1.Divide denominator into numerator – write as whole number 2. Remainder becomes the numerator 3. Keep the same denominator Not in notes

51 4 += 1. Write horizontally 2. Determine common denominator * Count by largest denominator until the smallest denominator goes into it evenly 7 no 7 14 no 21 no 28 yes 207 28 += 3. Make equivalent fraction with new denominator Ask yourself What can I multiply the denominator by to get the needed denominator x4 Multiply the numerator by the same number x4 Repeat for the other fraction x7 4. Add numerator keep denominator 27 28 5. Simplify if necessary EX 1)

311 12 += 4 x3 x1 x3 911 12 += 20 12 5 3 = 2 3 = 1 EX 2) EX 3) 75 12 -= 10 x6 x5 x6 4225 60 -= 17 60

13 5 += Solve mixed numbers as you would simple fractions. 3. Add whole numbers 6 5 18 30 + = x5 x6 23 30 2. Simplify if necessary EX 4) 1 1. Add the fractions first 1 2 1 1

79 16 += 8 x2 x1 149 16 += 23 x2 31 12 -= 4 x3 x1 x3 91 12 -= 8 2 3 = 2 3 = 3 EX 5) EX 6) 16 6 3 63 7 1 = = 7 10 63

Fraction and Mixed Number Review (Add & Subtract) Date ______________________

+= 1. Write ____________ 2. Determine ______ ___________ * Count by largest denominator until the smallest denominator goes into it evenly += 3. Make __________ ________ with new denominator Ask yourself What can I multiply the denominator by to get the needed denominator Multiply the numerator by the same number Repeat for the other fraction 4. ___ numerator ____ denominator 5. _________ if necessary EX 1)

+= += = = EX 2) EX 3) -= -=

+= Solve mixed numbers as you would simple fractions. 3. ____ whole numbers + = 2. ______ if necessary EX 4) 1. ____ the fractions first

+= += -= -= = = EX 5) EX 6) = =