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