
About Algebra

Addition and Subtraction

Multiplication
and Division

Criterions for Divisibility

Types of Numbers

Geometric Interpretation of Real Numbers

Irrational Number 

Properties of Real Numbers

Fractions
Proportions

Property of Equal Proportions

Absolute Values

Graphical Illustrations

Sets

Subsets

Operations with Sets

Intervals
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A is an expression of the form
,
where a and b are called,
respectively, the and
.
The numerator and denominator can be represented by any real numbers or
expressions. However, the denominator can not be equal to zero.
Fractions have the following :
- A fraction keeps its value if both the numerator and denominator
are multiplied by a non-zero number:
.
The property is uses in order
to reduce fractions to a common denominator;
to simplify a fraction by canceling common factors in the numerator and denominator.
- In order to add fractions with common denominators, add together the
numerators, keepping the denominator:
.
- The subtraction rule for fractions with equal denominators is
similar to the addition rule:
.
- In order to add (or subtract) fractions with different denominators,
reduce the fractions to a common denominator; then add (or subtract) the fractions with
equal denominators.
.
- To multiply fractions, multiply the numerators and denominators separately:
.
- To divide a quantity by a fraction, multiply the quantity by the
reciprocal fraction:
.
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