What is 0.93744 as a fraction?

Answer: 0.93744 as a fraction equals 93744/100000 or 5859/6250

Here is the solution for converting 0.93744 to a fraction:

Step 1:

First, we write 0.93744 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!

0.93744/1

  =  

0.93744 x 100000/1 x 100000

  =  

93744/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 93744 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 93744 are: 1  2  3  4  6  7  8  9  12  14  16  18  21  24  27  28  31  36  42  48  54  56  62  63  72  84  93  108  112  124  126  144  168  186  189  216  217  248  252  279  336  372  378  432  434  496  504  558  651  744  756  837  868  1008  1116  1302  1488  1512  1674  1736  1953  2232  2604  3024  3348  3472  3906  4464  5208  5859  6696  7812  10416  11718  13392  15624  23436  31248  46872  93744 
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 93744 and 100000 that gives us a GCF value of: 16

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.

93744/100000

  =  

93744 ÷ 16/100000 ÷ 16

  =  

5859/6250

Good work! We have just walked through the steps on how to represent 0.93744 as a fraction.