What is 0.49588 as a fraction?

Answer: 0.49588 as a fraction equals 49588/100000 or 12397/25000

Here is the solution for converting 0.49588 to a fraction:

Step 1:

First, we write 0.49588 as  

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point. Remember the numerator is the top part of the fraction and the denominator is the bottom part!

0.49588/1

  =  

0.49588 x 100000/1 x 100000

  =  

49588/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 49588 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 49588 are: 1  2  4  7  11  14  22  23  28  44  46  49  77  92  98  154  161  196  253  308  322  506  539  644  1012  1078  1127  1771  2156  2254  3542  4508  7084  12397  24794  49588 
The factors of 100000 are: 1  2  4  5  8  10  16  20  25  32  40  50  80  100  125  160  200  250  400  500  625  800  1000  1250  2000  2500  3125  4000  5000  6250  10000  12500  20000  25000  50000  100000 
So for 49588 and 100000 that gives us a GCF value of: 4

Step 4:

For the last step we reduce the fraction. This just means writing the fraction in the simplest way. To do this we divide both the numerator and denominator by the GCF value we determined in step 3.

49588/100000

  =  

49588 ÷ 4/100000 ÷ 4

  =  

12397/25000

Good work! We have just walked through the steps on how to represent 0.49588 as a fraction.