Converting fractions to decimal

The conversion of fractions into decimals is necessary primarily for the convenience of perceiving numbers, because in some cases a person is inclined to read information in the form to which he is accustomed from the first acquaintance with mathematics.

Converting fractions to decimals

Differences between decimals and ordinary fractions

To begin with, let’s remember how they differ from each other.

An ordinary fraction is a fraction represented as a/b

The decimal fraction is represented by a number of digits that are located in a certain number before and after the dot, i.e. 0.5, 1.5, 10.33, -110.58, etc.

For example, an ordinary fraction 1/2, when converted to decimal, turns into a number 0.5.

It should be noted that in order to convert an ordinary fraction into a finite decimal, its denominator must necessarily be decomposed only into multipliers 2 and/or 5n times (1 is not taken into account as a multiplier); but if, in addition to these multipliers, others appear (for example, 3 or 4), such a fraction can no longer be called finite, because it becomes an infinite decimal.