Mixed number

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A mixed number is a number that contains an integer and a proper fraction. An example of a mixed number is $9 \frac34$. All mixed numbers can be written as improper fractions (and vice versa).

Operations with Mixed Numbers

Addition and Subtraction

When adding or subtracting mixed numbers, we generally add or subtract each part -- add/subtract fraction (sometimes with conversion to common denominator) and add/subtract whole numbers. Sometimes, we may need to regroup fractions or "borrow" from whole numbers -- much like regrouping or borrowing when adding multi-digit numbers.

Alternatively, we can convert to improper fractions and add/subtract like regular fractions.

Multiplication and Division

When multiplying or dividing mixed numbers, we can convert to improper fractions and proceed as usual.

Problems

  • Practice Problems on Alcumus
    • Mixed Numbers (Prealgebra)