Download Chapter 2 Fractions

Chapter 2
Fractions
Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc.
2.3
Converting Between
Improper Fractions and
Mixed Numbers
Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc.
Proper and Improper Fractions
If the value of a fraction is less than 1, the
fraction is proper.
3 5 1 27
, , ,
4 9 2 40
If the value of a fraction is greater than or equal
to 1, the fraction is improper.
9 5 18 27
, ,
,
5 2 13 27
The numerator is
greater than or equal
to the denominator.
Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc.
Mixed Numbers
A mixed number is the sum of a whole number
greater than zero and a proper fraction.
3
5
1
2 , 1 , 22
4
9
2
3
2
4
Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc.
Mixed Numbers to Improper Fractions
Changing a Mixed Number to an Improper Fraction
1. Multiply the whole number by the denominator of the fraction.
2. Add the numerator of the fraction to the product found in step 1.
3. Write the sum found in step 2 over the denominator of the
fraction.
Example: Change 4
Multiply the whole number
by the denominator.
2
into an improper fraction.
3
Add the numerator
to the product.
43 2
12  2
14


3
3
3
Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc.
Write the sum over
the denominator.
Improper Fractions to Mixed Numbers
Changing an Improper Fraction to a Mixed Number
1. Divide the numerator by the denominator.
2. Write the quotient followed by the fraction with the
remainder over the denominator.
remainder
quotient
denominator
Example: Change
21 into a mixed number.
4
quotient
5 R1
4 21
21
1
 5
4
4
remainder
denominator
Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc.
Reducing a Mixed Number
or Improper Fraction
Example: Reduce the improper fraction 125 .
1
125
5  5  5  25

3
15
3  51
15
common factors
Example: Reduce the mixed number fraction 4
1
11
11  1
1
4
 4
 4
66
11  6
6
1
Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc.
11
.
66