# Difference between revisions of "Mixed number"

(Created page with "A mixed number is a number that contains aninteger and a proper fraction. Improper fractions such as <math>\frac{23}{2}</math> can be written as mixed numbers. Lik...") |
Rockmanex3 (talk | contribs) (Added operations on mixed numbers (and link to Alcumus unit)) |
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− | A mixed number is a number that contains an[[integer]] and a [[proper fraction]]. | + | A mixed number is a number that contains an [[integer]] and a [[proper fraction]]. An example of a mixed number is <math>9 \frac34</math>. All mixed numbers can be written as [[improper fraction|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 [https://artofproblemsolving.com/alcumus Alcumus] | ||

+ | ** Mixed Numbers (Prealgebra) | ||

+ | |||

+ | [[Category:Definition]] |

## Latest revision as of 19:03, 11 June 2020

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

## Contents

## 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)