Situations when it is necessary to transfer percent to simple or decimal fraction, can be the most unexpected. The calculator which all this does automatically, near at hand can not appear. For example, you need to make solution or just to give 10% of the substance available. It is much more convenient to make it if you know what part from total needs to be taken.
It is required to you
- - determination of decimal fraction;
- - determination of percent;
- - sheet of paper;
- - handle.
Instruction
1. Remember what is decimal fraction. It is such fraction which denominator represents some degree of number 10. If to try to write down in its simple fraction, then in a denominator will always stand 10, 100, 1000 , etc. The numerator at the same time represents the set number. At the same time a comma so many figures, how many zero in a denominator separate. That is to write down in decimal fraction, for example, 3/100, it is necessary to lay off 2 figures after a comma: 3/100=0.03.
2. Remember what is percent. It is a one hundredth part of any given number. To write down 1% in decimal fraction, it is necessary, as well as in the first example, to separate a comma 2 figures: 1%=1/100=0.01.
3. To transfer several percent to fraction, arrive, likewise. For example, you need to write down not 1%, but 34%. Write 0, then — the necessary number. As it is about the whole number of percent, in a denominator the idle time of fraction at you will stand number 100. Respectively, in decimal fraction it is necessary that the last figure stood in the category of the 100-th too. Count from it 2 signs, including figure 4 to the left. 0.34 will turn out. That is 34%=34/100=0.34.
4. Happens that it is necessary to write down not the whole number of percent, but its some part. Remember how simple fractions are transferred to decimal. If you need to find a half of percent, transfer at first fraction, having made a denominator multiple 10. It will look so: 1/2=5/10=0.5. Respectively, and 1/2% can be written down as 0.5%. In certain cases it can be done only approximately. For example, if you need to write down 1/3 percent, then at you the recurring decimal decimal will turn out. Depending on conditions of a task it is possible to write down this part of percent with different degree of accuracy, that is 0, 3 or 0.33. Maybe it is more "three" of the ambassador of a comma.
5. Arithmetic actions with the percent transferred to decimal fraction are carried out just as with any decimal fractions. In this case to find to what such number of percent from the set number equals, you should not divide this number into 100 any more and to multiply by the number of percent. You just multiply number by the received decimal fraction.