1-111 MAC1-PS-823586 7/5/2000 7:02 PM Page 40
Name
5-5
Date
Mixed Numbers and Improper
Fractions (pages 198–201)
A mixed number shows the sum of a whole number and a fraction. For
8
5
5
. A fraction such as ,
example, 2 is
a
mixed
number
that
means
2
6
6
7
where the numerator is greater than or equal to the denominator, is known
as an improper fraction. You can rewrite a mixed number as an improper
fraction.
Use Paper and
Pencil to Express a
Mixed Number as an
Improper Fraction.
To write a mixed number as an improper fraction, first multiply the
whole number by the denominator and add the numerator. Write this
17
1
(2 8) 1
sum over the denominator. 2 8
8
8
5
Express as a mixed number. Divide the numerator by the
3
Divide to Express an
Improper Fraction
as a Mixed Number.
denominator.
Write the remainder in the numerator of a fraction that has the
1
35
3
2
2
5
divisor as the denominator. So 1
.
3
3
EXAMPLES
2
8
A Express 3 as an improper fraction.
3
2
3
3
(3 3) 2
3
11
3
B Express 7 as a mixed number.
8 7 1 R1 Write the remainder in the
numerator of a fraction that has the divisor
as the denominator.
1
8
1
7
7
Multiply 3 by 3 and add 2.
Write the result over 3.
PRACTICE
Express each mixed number as an improper fraction.
1
1. 4 7
2
5
1
2. 10 5
3. 3 2
4. 5 9
Express each improper fraction as a mixed number.
11
5. 2
B
C
C
B
C
9. Standardized Test Practice Express two and two-ninths as an improper fraction.
18
C 9
6. 3 5
1
7. 2 8
7
8. 8 3
1
40
1
9. B
© Glencoe/McGraw-Hill
12
D 9
5. 5 2
20
B 9
50
22
A 9
4. 9
B
A
7
8.
3. 2
A
7.
52
B
6.
2. 5
A
5.
29
4.
25
8. 3
23
7. 8
Answers: 1. 7
3.
16
6. 5
Parent and Student Study Guide
Mathematics: Applications and Connections, Course 1