Mixed Number Concepts –
Reference: K. Elayn Martin-Gay – Page 1 Definition: Mixed Number
Read Mixed Numbers Definition: A Whole & a Fraction 3 2/5 = Three & two-fifths 5 3/7 = Five & three-sevenths 9 5/6 = Nine & five-sixes |
Write Mixed NumbersMixed 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 FractionMultiply 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 NumberDivide 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 NumbersAdd 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 NumbersSubtract 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 NumbersChange 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 NumbersChange 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 |
Thomas Love Malone College 2006/2008