Mixed-Number Notation

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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

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.