Algebra Demystified 2nd Ed

26 alGebra De mystif ieD

SOLUTIONS

1.^335
9

3 9

5

27

(^595)
=÷=⋅=

2.^884
3

8 3

4

24

4

4 6

3

=÷=⋅==

3.

(^57)
2
5
7
2 5
7
1
2
5
14
=÷=⋅=
4.
114
2
4
11
2 4
11
1
2
4
22
2
11
=÷=⋅==
5.
(^1027)
74
10
27
4
7
10
27
7
4
70
108
35
54
=÷=⋅==

Mixed Numbers and Improper Fractions

An improper fraction is a fraction whose numerator is larger than its denominator.

For example,^65 is an improper fraction. A mixed number consists of the sum of a

whole number and a fraction. For example, 115 (which is really 1 +^15 ) is a mixed number.

For now, we will practice writing a mixed number as an improper fraction.

To convert a mixed number into an improper fraction, we multiply the

whole number by the fraction’s denominator and then add this to the numerator.

The sum is the new numerator. The rule is:

abc=acc+b

EXAMPLES

Write the mixed number as an improper fraction.

2 2256

25

50 6

25

56

25

256 =()⋅+= + =

1 19 2

9

11

9

(^29) =()⋅+=
4 46 1
6
24 1
6
25
6
(^16) =()⋅+= + =
✔SOLUTIONS
EXAMPLES
Write the mixed number as an improper fraction.