Mixed Number ConceptsBasic College Mathematics for Teachers

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 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

Thomas Love               Malone College            2006/2008