What is 0.59808 as a fraction?

Answer: 0.59808 as a fraction equals 59808/100000 or 1869/3125

Here is the solution for converting 0.59808 to a fraction:

Step 1:

First, we write 0.59808 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!

0.59808/1

  =  

0.59808 x 100000/1 x 100000

  =  

59808/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 59808 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 59808 are: 1  2  3  4  6  7  8  12  14  16  21  24  28  32  42  48  56  84  89  96  112  168  178  224  267  336  356  534  623  672  712  1068  1246  1424  1869  2136  2492  2848  3738  4272  4984  7476  8544  9968  14952  19936  29904  59808 
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 59808 and 100000 that gives us a GCF value of: 32

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.

59808/100000

  =  

59808 ÷ 32/100000 ÷ 32

  =  

1869/3125

Good work! We have just walked through the steps on how to represent 0.59808 as a fraction.