# Algebraic fractions

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*Algebraic fraction. Canceling fractions.*

Addition and subtraction of fractions.

Multiplication and division of fractions.

Addition and subtraction of fractions.

Multiplication and division of fractions.

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Algebraic fraction
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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

*numerator*,

*B*– a

*denominator*. Arithmetical fraction is a particular case of an algebraic one.

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__Canceling fractions__

E x a m p l e :

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__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 :

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__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 :