Advice 1: How to calculate fractions

The number composed from a certain number of share units, in arithmetic, is called a fraction. It usually consists of two parts - the numerator and the denominator. Each of them is an integer. Literally the denominator shows how many parts the unit is divided, and the numerator how many of these parts took.
How to calculate fractions
You will need
  • a textbook on mathematics for 5 and 6 classes
It is customary to divide common and decimal fractions, familiarity with which begins in high school. Currently there is no area of knowledge where you would not apply this concept. Even in history we're talking the first quarter of the 17th century, and all at once understand what we mean 1600-1625. Also often have to deal with basic operations on fractions and convert from one form to another.
Example the fractions to a common denominator
Reduction of fractions to a common denominator is perhaps the most important operation on ordinary fractions. This is the basis for all calculations. So, let's say there are two fractions a/b and c/d. Then, in order to bring them to a common denominator, you need to find the least common multiple (M) numbers b and d, and then multiply the numerator of the first fraction to (M/b) and the numerator of the second to (M/d).
Compare fractions, is another important task. In order to do this, give a set of simple fractions to a common denominator and then compare numerators whose numerator is greater than the fraction and more.
An example of comparing three fractions
In order to perform the addition or subtraction of ordinary fractions, you need to bring them to a common denominator, and then produce the desired mathematical operation with the numerators of these fractions. The denominator remains unchanged. Let's say you need from a/b subtract c/d. This requires to find the least common multiple of M numbers b and d, and after you subtract one numerator from the other, without changing the denominator: (a*(M/b)-(c*(M/d))/M
Example of adding and subtracting common fractions.
Simply multiply one fraction by another, simply multiply their numerators and denominators:
(a/b)*(c/d)=(a*c)/(b*d)to divide one fraction by another, you need a fraction of the dividend multiplied by a fraction the inverse of the divisor. (a/b)/(c/d)=(a*d)/(b*c)
To cost to remind that in order to get the reverse shot, you need the numerator and denominator are reversed.
Example of multiplying and dividing fractions
Order from the ordinary of the fraction go to a decimal, you need to divide the numerator by the denominator. The result can be both finite and infinite.If the decimal fractions you need to go to an ordinary, lay your number for a whole hour and the fractional presenting the past in the form of a natural number divided by ten to the appropriate degree.
Example conversions from decimal fractions to common and back
Useful advice
Do not forget to reduce the fraction.

Advice 2 : How to do fraction

Common fraction - number whimsical. Sometimes you have to suffer to find the solution of the problem with the shot and present it in the proper form. Learning to solve examples with fraction, you will easily cope with this unpleasant thing.
How to do fraction
Consider addition and subtraction of fractions. For example, 5/2+10/5. Bring both fractions to a common denominator. To do this, find the number that can be divided without remainder by the denominator of the first and second fractions. In our case this number is 10. Convert the above fraction, obtained 25/10+20/10.
Now add together the numerators, and leave the denominator unchanged. It turns out 45/10.
It is possible to reduce the resulting fraction, i.e., divide the numerator and the denominator by the same number. It turns out 9/2.
Highlight the whole part. Find the maximum number that can be divided without remainder by the denominator. The number 8. Divide it by the denominator - this will be a part of it. So, the result is 4 1/2.
Perform the same steps in subtracting fractions.
Consider the multiplication of fractions. Here everything is simple. Multiply together the numerators and denominators. For example, 2/5 is multiplied by 4/2 turns 8/10. Simplify the fraction, it turns 4/5.
Consider dividing fractions. In this step, you flip one of the fractions, then multiply numerators and denominators. For example, 2/5 divided by 4/2 - turns 2/5 times 2/4 - it turns out 4/20. Simplify the fraction, it turns out 1/5.
Is the advice useful?