Fraction (mathematics) Contents Examples | Mathematical fractions | Multiplying | Other websites | Navigation menuCurricula for Creating FractionsCurricula for Teaching about FractionsTeaching Fractions: New Methods, New ResourcesWorksheets:FractionsInteractive and dynamic worksheets to visualize fractionsWorksheets: Identifying FractionsWorksheets: Improper Fractions to Mixed NumbersCurricula for Teaching about Equivalent FractionsFree online quizzes about FractionsEndless Examples & Exercises for fractionsPrintable fraction worksheetsadding to it
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Fraction (mathematics)
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A cake with one quarter removed. The remaining 3⁄4 of the cake has been divided into two pieces.
A fraction is a number that shows how many equal parts there are. When we write fractions, we show one number with a line above another number, for example, 14displaystyle tfrac 14 or 1⁄4 or 1/4. The top number tells us how many parts there are, the second number tells us the total number of parts.
The top part of the fraction is called a numerator. The bottom part of the fraction is called a denominator. For example, 14displaystyle tfrac 14: The 1 is the numerator here, and the 4 is the denominator.
Contents
1 Examples
2 Mathematical fractions
3 Multiplying
4 Other websites
Examples |
- A room where 14displaystyle tfrac 14 of the people are girls, has 1 girl for every 4 people.
- Think of a cake made of 4 equal parts. Each is 1 part of 4. In maths, you write this as 14displaystyle tfrac 14, and it is called a "quarter". 2 parts of the cake (i.e. 2 quarters) is written 24displaystyle tfrac 24, and this is also known as 1/2, half.
Mathematical fractions |
A fraction is a mathematical expression relating two quantities or numbers, one divided by the other. The numbers may be whole numbers (or integers) – this is a rational number. For example, 12displaystyle tfrac 12 is a fraction. They can also be polynomials – this is a rational function.
Mathematically, a fraction is a quotient of numbers, representing the number's value when the numerator is divided by the denominator (lower number). Thus 12displaystyle tfrac 12 means one divided by two, or, in decimals, 0.5.
To find 12displaystyle tfrac 12 of 12displaystyle tfrac 12, the denominators are multiplied. That means: denominator 2 multiplied by 2 equals 4 or: 12displaystyle tfrac 12 x 12displaystyle tfrac 12 = 14displaystyle tfrac 14 or: 0.5 x 0.5 = 0.25.
(In this case “12displaystyle tfrac 12 of” means mathematically "multiplication".)
To find 12displaystyle tfrac 12 divided by 12displaystyle tfrac 12, multiply 12displaystyle tfrac 12 by the reciprocal of 12displaystyle tfrac 12, which is 2. That answer is 1.
Multiplying |
The numerator is multiplied by the other numerator. The denominator is multiplied by the other denominator.
E.g. 2⁄4 x 3⁄4 = 6⁄16 you can simplify
this by dividing both the numbers by a common factor.This would be 3⁄8
Other websites |
- Curricula for Creating Fractions
- Curricula for Teaching about Fractions
- Teaching Fractions: New Methods, New Resources
- Worksheets:Fractions
- Interactive and dynamic worksheets to visualize fractions
- Worksheets: Identifying Fractions
- Worksheets: Improper Fractions to Mixed Numbers
- Curricula for Teaching about Equivalent Fractions
- Free online quizzes about Fractions
Endless Examples & Exercises for fractions
Printable fraction worksheets for elementary grades.
This short article about mathematics can be made longer. You can help Wikipedia by adding to it.Categories:
- Mathematics
- Numbers
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