Review of Introductory Mathematics
FRACTIONS
Example:
= 2 +
= 2
22
9
4
9
4
9
Here, 9 can be divided into 22 two times, with
left over or remaining.
4
9
Thus, the improper fraction
is equivalent to the mixed number 2
.
22
9
4
9
Every number may be expressed as a fraction or sum of fractions. A whole number is a fraction
whose denominator is 1. Any fraction with the same numerator and denominator is equal to one.
Examples:
5 =
,
= 1
5
1
10
1
10,
1
16
16
,
5
5
Equivalent Fractions
An equivalent fraction is a fraction that is equal to another fraction.
Example:
2
3
4
6
6
9
A fraction can be changed into an equivalent fraction by multiplying or dividing the numerator
and denominator by the same number.
Example:
because
= 1, and 1 x any number = that number
2
3
2
2
4
6
2
2
A fraction may be reduced by dividing both the numerator and the denominator of a fraction by
the same number.
Rev. 0
Page 25
MA-01