The reduction of fractions is used throughout the exact sciences not only for numerical values of the numerator and denominator, but also for fractions represented as a partial two polynomials with variables.
To reduce the ordinary fraction, we needThe numerator and denominator are divided into their greatest common factor. In practice, usually the fraction reduction is performed in several stages. For numerical fractions "by eye" they estimate the number to which the numerator and the denominator can be divided. Then divide by this number, and then again try to reduce the received fraction until the numerator and denominator have common multipliers.
From this follows the simplest way of reducingFractions-the expansion of the numerator and denominator into simple factors. If we can not find at least one common multiplier, we begin to sort out the prime numbers and find out whether there is one among them that divides the numerator and the denominator of the fraction.
In the case when the fraction is represented in the formOf a particular polynomial, the polynomials must be factorized using formulas of reduced multiplication or in other ways trying to bring them into the form of a product of monomials. Usually the ability to correctly and quickly pick up the formula of reduced multiplication comes only with experience.