What is 0.58344 as a fraction?

Answer: 0.58344 as a fraction equals 58344/100000 or 7293/12500

Here is the solution for converting 0.58344 to a fraction:

Step 1:

First, we write 0.58344 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!

0.58344/1

  =  

0.58344 x 100000/1 x 100000

  =  

58344/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 58344 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 58344 are: 1  2  3  4  6  8  11  12  13  17  22  24  26  33  34  39  44  51  52  66  68  78  88  102  104  132  136  143  156  187  204  221  264  286  312  374  408  429  442  561  572  663  748  858  884  1122  1144  1326  1496  1716  1768  2244  2431  2652  3432  4488  4862  5304  7293  9724  14586  19448  29172  58344 
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 58344 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.

58344/100000

  =  

58344 ÷ 8/100000 ÷ 8

  =  

7293/12500

Good work! We have just walked through the steps on how to represent 0.58344 as a fraction.