Decimal fractions

Decimal fractions Frazioni e numeri decimali Fractions et nombres dcimaux الكسور العشرية दशमलव भाग 分数与小数 Breuk en decimaal getal Fracciones decimales Fraes decimais



This calculator transforms fractions into decimal numbers and vice versa

Enter a fraction (e.g. 2/3) or a decimal number. Mathepower converts it.




Hints:

  If you enter 3/7 , you get    
  If you enter 1 4/5 , you get   
1
4
5
 
  If you enter 0,_3 , you get   0,3  = 0, 333333....
  If you enter 3,42_56 , you get   3.4256 

The sign _ says that all further signs are below the overline.



To put a fraction into a decimal number, you just have to divide the numerator by the denominator.

Transforming fractions into decimal numbers

How to transform a fraction into a decimal number?

It is very simple for fractions that can be expanded to have a 1 followed by only zeroes in the denominator. But this is only possible if the denominator has 2 and 5 as only prime factorsl
Then you do the following:
First expand the fraction so that it has a power of 10 (i.e. a 1 followed by zeroes) in the denominator
Then count how many zeroes the power of 10 has. This is exactly the amount of numbers after the decimal sign.