Mixed Number ConceptsBasic College Mathematics for Teachers

Reference:  K. Elayn Martin-Gay – Page 1     Definition: Mixed Number

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 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

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

2 1/7  +  4 2/7  =  6 3/7

2 5/9  +  3 2/9  =   5 7/9

# 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

# 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

Thomas Love               Malone College            2006/2008