IMPROPER FRACTIONS. Notice that the answer to the last problem in
Frame 2-29 is unusual in that the fraction has a numerator that is larger
200 = 2x2x2x5x5
than the denominator. Such a fraction is called an improper fraction.
An improper fraction is a fraction in which the numerator is equal to or
2x2x2x 5x5 = 2x2x2=
larger than the denominator.
A proper fraction is a fraction in which the numerator is less than the
A combination of a whole number and a fraction, such as three and one-
half (3 1/2), is called a mixed number.
3/5 is a(n)
5/3 is a(n)
1 2/3 is a(n)
When you worked the problem 7/8 divided by 1/4, you came up with an
improper fraction (7/2) as the answer. When your answer is an improper
fraction, you will usually change it to its mixed number form (this is also
referred to as "reducing"). To change an improper fraction to a mixed
number, divide the numerator by the denominator and put the remainder
(if any) over the denominator.
Reduce 7/2 to a mixed number.
Reduce the following improper fractions. If the remainder is zero, then
the improper fraction reduces to a whole number.
7/2 = 2/ 7
= 3 1/2