What is 0.58968 as a fraction?

Answer: 0.58968 as a fraction equals 58968/100000 or 7371/12500

Here is the solution for converting 0.58968 to a fraction:

Step 1:

First, we write 0.58968 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!

0.58968/1

  =  

0.58968 x 100000/1 x 100000

  =  

58968/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 58968 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 58968 are: 1  2  3  4  6  7  8  9  12  13  14  18  21  24  26  27  28  36  39  42  52  54  56  63  72  78  81  84  91  104  108  117  126  156  162  168  182  189  216  234  252  273  312  324  351  364  378  468  504  546  567  648  702  728  756  819  936  1053  1092  1134  1404  1512  1638  2106  2184  2268  2457  2808  3276  4212  4536  4914  6552  7371  8424  9828  14742  19656  29484  58968 
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 58968 and 100000 that gives us a GCF value of: 8

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.

58968/100000

  =  

58968 ÷ 8/100000 ÷ 8

  =  

7371/12500

Good work! We have just walked through the steps on how to represent 0.58968 as a fraction.