Mixed-Number Notation
1. What is a mixed number?
A mixed number is the sum of a whole
number and a proper fraction. We leave out the plus sign when we
write the number.
Example:
(The mixed - number notation leaves out the plus sign.)
2. Improper fractions can be written as mixed numbers:
To write an
improper fraction as a mixed number, divide the numerator by the
denominator. The quotient (answer to the division) is the whole
number, the remainder is the numerator in the proper fraction, and
the divisor (the original denominator) is the denominator in the
proper fraction.
Example:
Convert
 to a mixed number.
 with a remainder of 1
so
3. Mixed numbers can be written as improper fractions:
To write a
mixed number as an improper fraction,
• multiply the denominator of the proper fraction by the whole
number and add the numerator of the proper fraction to your
result. This gives you the numerator of the improper fraction
• carry along the denominator of the proper fraction for the
denominator of the improper fraction.
Example:
Convert
 to an improper fraction.
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