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Algebraic fractions

Algebraic fraction. Canceling fractions.
Addition  and subtraction of  fractions.
Multiplication and division of fractions.

Algebraic fraction is an expression of a shape  A / B, where A and B can be a number, a monomial, a polynomial. As in arithmetic, A is called a numeratorB – a denominator. Arithmetical fraction is a particular case of an algebraic one.

Canceling fractions

E x a m p l e :

Addition and subtraction of fractions

To add or to subtract two or some fractions it is necessary to make the same operations as in arithmetic. 
E x a m p l e :

Multiplication and division of fractions

Multiplication and division of algebraic fractions doesn’t differ from the same operations in arithmetic. Canceling a fraction can be done both before and after multiplication of numerators and denominators.
E x a m p l e :


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