How to translate fractions

In everyday life, not only integers are used. Often you have to find part of an integer and perform settlement operations with fractions. Simple fractions are rarely used, most often in real life decimal notation is used. To make mathematical calculations easily and quickly, you need to know how to translate fractions.

Fraction Types

A fraction is a number that consists of one or more fractions of a unit. In mathematics, there are three types of fractions: ordinary, mixed, and decimal.

• Common fractions

An ordinary fraction is written as a ratio in which the numerator reflects how many parts of the number are taken, and the denominator shows how many parts the unit is divided into. If in the fraction the numerator is less than the denominator, then we have the correct fraction. For example: ½, 3/5, 8/9.

If the numerator is equal to or greater than the denominator, then we are dealing with the wrong fraction. For example: 5/5, 9/4, 5/2 When dividing the numerator by the denominator, you can get a finite number. For example, 40/8 = 5. Therefore, any integer can be written as an ordinary irregular fraction or a series of such fractions. Consider the example of writing the same number in the form of a series of different irregular fractions.

Mixed fractions

In general, a mixed fraction can be represented by the formula:

Thus, a mixed fraction is written as an integer and an ordinary regular fraction, and by such a record we mean the sum of the whole and its fractional part.

Decimal fractions

A decimal fraction is a special kind of fraction in which the denominator can be represented as a power of 10. There are infinite and finite decimal fractions. When recording this kind of fraction, the whole part is first indicated, then the fractional part is fixed through the separator (period or comma).

The record of the fractional part is always determined by its dimension. The decimal record is as follows: