What is 0.62304 as a fraction?

Answer: 0.62304 as a fraction equals 62304/100000 or 1947/3125

Here is the solution for converting 0.62304 to a fraction:

Step 1:

First, we write 0.62304 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!

0.62304/1

  =  

0.62304 x 100000/1 x 100000

  =  

62304/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 62304 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 62304 are: 1  2  3  4  6  8  11  12  16  22  24  32  33  44  48  59  66  88  96  118  132  176  177  236  264  352  354  472  528  649  708  944  1056  1298  1416  1888  1947  2596  2832  3894  5192  5664  7788  10384  15576  20768  31152  62304 
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 62304 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.

62304/100000

  =  

62304 ÷ 32/100000 ÷ 32

  =  

1947/3125

Good work! We have just walked through the steps on how to represent 0.62304 as a fraction.