Improper Fractions and Mixed Numbers
An improper fraction is a fraction whose numerator is greater than its denominator,
such as
. An improper fraction can be changed to a
mixed number, which is a whole
number with a fraction, such as
. Likewise, a mixed number can be changed to an
improper fraction when it is necessary for doing mathematical operations with these
numbers.
PROCEDURE: To change an improper fraction to a mixed number, divide the
numerator by the denominator and write the quotient as the whole number. If
there is a remainder, place it over the denominator to make the fraction of the
mixed number.
SAMPLE PROBLEM A: Change
to a mixed number.
Step 1: Divide the numerator by the
denominator.
17 Ã· 5 = 3, remainder 2

Step 2: Write the quotient as the whole
number, and put the remainder over the
original denominator as the fraction.

PROCEDURE: To change a
mixed number to an improper fraction, multiply the
denominator of the fraction by the whole number. Then add that product to the
numerator. Finally, write the sum over the denominator.
SAMPLE PROBLEM B: Change
to an improper fraction.
Step 1: Multiply the denominator
by the whole number. 3 Ã— 4 = 12 
Step 2: Add the product to the numerator,
and write the sum over the denominator.

