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...")
 
(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]]. [[Improper fractions]] such as <math>\frac{23}{2}</math> can be written as mixed numbers. Likewise, mixed numbers can be written as improper fractions.
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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 <math>9 \frac34</math>.  All mixed numbers can be written as [[improper fraction|improper fractions]] (and vice versa).
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==Operations with Mixed Numbers==
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===Addition and Subtraction===
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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.
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Alternatively, we can convert to improper fractions and add/subtract like regular fractions.
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===Multiplication and Division===
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When multiplying or dividing mixed numbers, we can convert to improper fractions and proceed as usual.
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==Problems==
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* Practice Problems on [https://artofproblemsolving.com/alcumus Alcumus]
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** Mixed Numbers (Prealgebra)
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[[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 $9 \frac34$. 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)
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