Translation of the fraction in the number can be useful both when performing mathematical operations and in everyday life. There are a number of ways to help do it. It is enough to understand several simple actions for yourself, after which in any situation you can translate fraction into an integer.
What fractions exist?
From the main course of mathematics, we remember that there are two types of fractions: ordinary and decimal.
- The ordinary fraction is represented in the form of a two-storey construction, where the numerator is located on top, and the denominator is lower. These two numbers are separated from each other. Sometimes the fraction is written in the line and is separated by the inclined line. Also, the fraction may contain the left of another number, which will mean the number of integration. For example, 45/21 \u003d 2 as 3/21.
- The decimal fraction is written in the form of an integer followed by a comma and the remainder of the whole. For example, 0.135.
What fractions to be translated into an integer?
Transfer to an integer only fraction with the presence of a whole part.
That is, in an ordinary fraction before the numerator and the denominator, an integer must be configured or a fraction should be incorrect. The wrong ordinary fraction is called in the case when the numerator is greater than the denominator.
In a decimal fraction, we can only shift to an integer number only when there are any numbers before the comma except 0.
How to translate fraction into an integer?
To translate the above-mentioned fractions to an integer, it is necessary to designate the whole part already written or allocate it yourself, and then round down the residue.
Allocation of the whole part of ordinary fraction.
- If we already have a whole part, we look at the denominator and the numerator. If the numerator is less than the denominator more than 2 times, then do not take into account it. If the numerator is very close to the value to the denominator, then we add 1. Due to the inability to get rid of the remainder, we are rounding it.
- If the whole part is not highlighted and the numerator is more denominator, then divide the numerator to the denominator. It will be a whole part. We subtract the denominator from the numerator and the remaining fraction is rounded as well as in the previous paragraph.
Selection of a whole part of decimal fraction.
- If we already have a whole part, we look at the numbers after the comma. If the first digit is less than 5, then we leave the former part, and we get rid of the residue. If the digit after the comma is greater than or equal to 5, then add 1 to the whole part.
How to translate the wrong fraction in the number?
In situations, when it is impossible to give a decimal fraction to a whole value due to the lack of a whole, we can bring it in appearance decimal to simplify further operations with it.
- Take a calculator or sheet of paper and pen. We divide the numerator to the denominator and get as a result or an integer or a decimal fraction with the residue. We can round it or leave it in this form.
- Another option: Translation by multiplication. You must select the number when multiplying to which the denominator will end on the round value with the first digit 1 and further zeros. When such a number is found, we are nominated for this number of both parts of an ordinary fraction and transform it into decimal. If there is 10 in the denominator, the numerator goes first after the comma, if in the denominator 100, then in second place, and so on.
To transfer fractions to an integer or non-target number, the most basic knowledge of mathematics, as well as a pen and sheet of paper or calculator, will be needed. It will not be necessary to memorize the formulas and algorithms, if you figure it out in different types of fractions and understand their meaning.
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