world of high technology predisposes to ensure that the people working less.For this reason, services acquired immense popularity of fast food, despite the obvious harm such food for the body.The availability of the Internet has made the process of learning is not the way it was before.Now, to meet the challenge, just go to a popular search engine and enter the part of the job in the search box.As a result of man-made break the whole society gradually degrade.
Many people today will not be able to explain their own children how to reduce a fraction, especially if it's not elementary operations with numbers.Not to mention the trigonometric formulas and actions.We ourselves do not have to sit for five minutes in order to remember what took place at the school.And not even the fact that we can lucidly explain what will be able to remember.
improper fractions and their transformation
fraction, the numerator of which in its significance over the denominator is called irregular.In order to isolate the whole component is necessary to divide the upper part of the bottom fraction.The quotient of record separately, and the rest put in the numerator.The denominator of the fraction thus remains unchanged.
Fractions with variables
In the case where both the numerator and denominator of the fraction contains the letter, its reduction is as follows:
1. If the letters are different, you can go to reduce the numbers:
2a / 4c = a /2c
2. If the same variables:
3as / 7skh = 3a / 7x
3. In the case where the numbers are in power, then for the same reasons the reduction occurs by subtracting the fraction of increasingly smaller:
37 /312 = 30 / 312-7 = 1/35
4. Such actions are carried out in cases where there is a degree of the variable:
a12k3 / a10k5 = a12-10 / k5-3 = a2 / k2
In that case,when the reasons are different, it is impossible to reduce a fraction.
Fractions containing expressions
How to reduce a fraction, the numerator of which is the sum or difference?In this case, you must apply the formulas of abridged multiplication or lay expression factors.It is necessary to remember, when the numerator is the sum, then cut it is possible only in case of complete coincidence with the denominator:
(a + a) / (a + k) 2 = 1 / (a + k), and (a + h) / a = a / k + k / k = a / k + 1
For example, how to reduce the fraction of the following form:
(4k2 + 4kr + P2) / (2k + p)
to perform cuts, use reverseformula of the square sum of the numerator and get:
4k2 + 4kr + P2 = (2k + p) 2
Now that the numerator and denominator are the same, we had no choice but to reduce the fraction:
(2k + p) 2 /(2k + p) = (2k + p) / 1 = 2k + p
order to easily reduce a fraction, you must know well and skillfully apply the formulas of abridged multiplication.For many it is a serious problem, but frequently they are used they are perfectly stored.This develops the human brain, teaches him to see the solution of intricate problems.
is beautiful approach on how to reduce a fraction, and its diversity.This allows you to give free rein to the creative part, together with the intellectual.If we decide to force their children to such examples yourself, so we can help them to adapt more quickly to changing and unexpected turns of life.
