Saturday, 10 January 2015

Decimal to Fraction Conversion

Decimal and Fractions :
Decimal and Fraction are the different ways of representing a number, but the value remains the same.

In simple words, decimal numbers are numbers containing a point in it, which is said as a decimal point. Fractional numbers are two numbers separated by a horizontal line.

Though we are well known of these, this blog would be a very helpful guide for parents and teachers to teach decimals and fractions to their children.

Decimal Numbers :

  As already said, decimal numbers are the numbers having a decimal point in it.

The numbers succeeding the point can be considered from tens,hundreds,......

For example, consider a number 45.6



In this number, the number preceeding the point can be considered as ones,tens,hundreds, etc., and the number after point starts from tens, hundreds, etc.,

Fraction Numbers :

Fraction numbers consists of two whole numbers separated by a horizontal line.




The number above the horizontal line is called as numerator and the number below the line is denominator.

             1  = Numerator
             2  = Denominator


Decimal to Fraction Conversion : 

Decimal and fraction having the same value is represented in different forms.

Example 1 :

If the number does no have any value before the decimal point, count the number after the point. If we have onedigit, then divide the number by 10, if we have two digits divide it by 100 and it goes on.

0.1   =  1/ 10

0.12  = 1/100

0.123 = 1/ 1000

Now consider the number , 0.25.

Since it has two digits after the point, we can take it as 25/ 100.

Both the numerator and denominator are divisible by 5 and hence we can take it as (25/5) / (100/5) which gives 5/20 . Again both 5 and 20 can be divisible by 5 and hence it can be taken as (5/5) / ( 20/5), which gives the answer as 1/10.

Example 2 :

Consider the number 1.25.

1 + ( 25 / 100) = 1 + ((25/5) / (100 / 5))  = 1 + (5 / 20) = 1 + (1/10). This can be written as 1 (1 /10 ).

Thus decimal numbers can be converted to fractional numbers.

Here is an decimal to fraction conversion calculator for you to use it.




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