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- From the Latin: "fracus" meaning "broken"
- Numerator: top number representing the partHelp With Fractions: Understanding Fractions
- Denominator: bottom number representing the wholeHelp With Fractions: Understanding Fractions
- Denominator cannot be zeroHelp With Fractions: Understanding Fractions
- Quotient of numbers: Numerator divided by the denominatorHelp With Fractions: Understanding Fractions
- Vulgar (Common) Fractions: One integer divided (over) a non-zero integer
- Proper Fractions: Value of numerator is less than value of denominator (eg: 1/3)
- Improper Fractions: Value of numerator is greater than or equal to value of denominator (eg: 6/5)
- Mixed Number: Sum of a whole number and a fraction (eg: 2 1/4)
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In mathematics, fractions are ratios. A fraction represents a proportional relationship between a part or parts and the whole. Some, but not all fractions, can be accurately represented with a combination of whole numbers and decimals. Fractions can be added, subtracted, multiplied and divided.University of Utah: Math 1010 Online
When changing fractions into decimals and percentages, it is necessary to see fractions as division problems. The top number is divided by the bottom number. For more details on this, see How To Convert Fractions.
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Fractions, Quotients and Decimals
Many fractions can be represented accurately by quotients, but there are certain numbers, such as pi, that can only be estimated. Pi can be exactly represented as a fraction. The numerator is a circle's circumference and the denominator is a circle's diameter. However, if pi is written out as a quotient of numbers, the decimal places will keep repeating indefinitely.Wolfram MathWorld: Pi Therefore, fractions are very useful ways of accurately representing numbers.
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Entertaining Fractions Video
This video defines numerator as part and denominator as whole. It explains factors, and demonstrates using factors to reduce fractions. It also mentions the division of numerator by denominator. These concepts are essential to understanding the manipulations of algebra, let alone the conversion of fractions into decimals and percentages. Brought to you by the folks at www.studio4learning.tv
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Fractions (Mathematics) Questions
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write 62.5% as a fraction 1 Answer62.5% in fraction is 5/8. The way I worked it out is the following: 62.5% is equal to 62.5/100 62.5/100 if multiply by 100/100 is 625/1000 To get it to the lo... read more -
How would you define Mathematics? 2 AnswersHope this helps: The study of the measurement, properties, and relationships of quantities and sets, using numbers and symbols. read more -
What elements of Mathematics did the Mayan understand? 1 AnswerWe are still trying to figure out everything they knew!! They did have a zero, and they used in it everyday math. The system they used was based on 20. See ... read more -
Can you help me find (or think of) fun, hands-on activities to help kids learn about fraction operations? 6 AnswersBring a waffle maker into the classroom. You can teach ANY fraction lesson with a waffle maker. Nothing gets kids into a lesson like food just before lunch :) H... read more
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