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Mixed Number Concepts – Basic College Mathematics for Teachers Reference: K. Elayn Martin-Gay – Page 1 Definition: Mixed Number Read Mixed Numbers Write Mixed Numbers Definition: A Whole & a Fraction Mixed Number is Whole & Fraction 3 2/5 = Three & two-fifths Two & seven-ninths = 2 7/9 5 3/7 = Five & three-sevenths Four & three-eighths = 4 3/8 9 5/6 = Nine & five-sixes Seven & one-fifth = 7 1/5 Mixed Number to Improper Fraction Improper Fraction to Mixed Number Multiply Denominator x Whole Number then Add Numerator. Divide Denominator into Numerator Quotient is Whole Number Remainder is Numerator of Fraction. 3 2/5 = 17/5 (15) + (2) = 17 7/3 = 2 1/3 2 4/7 = 18/7 (14) + (4) = 18 9/5 = 1 4/5 Addition of Mixed Numbers Subtraction of Mixed Numbers Add Wholes & Add Fractions Subtract Wholes & Subtract Fractions 2 1/7 + 4 2/7 = 6 3/7 5 3/7 - 1 2/7 = 4 1/7 2 5/9 + 3 2/9 = 5 7/9 7 4/5 - 4 2/5 = 3 2/5 Like Denominators! Like Denominators! Multiplication of Mixed Numbers Division of Mixed Numbers Change to Improper Fractions then Multiply Ns and Ds. Change to Improper Fractions then Multiply by Inverse 1 2/3 x 1 3/5 = 5/3 x 8/5 = 40/15 = 2 10/15 2 1/5 / 1 2/7 = 11/5 / 9/7 = 11/5 x 7/9 = 77/45 = 1 33/45 Reduced: 2 2/3 Reduced: 1 11/15 Thomas Love Malone College 2006/2008