Mixed Number Concepts Basic 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