Download Fraction Number Concepts – Basic College Mathematics – K

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