What is 0.37128 as a fraction?

Answer: 0.37128 as a fraction equals 37128/100000 or 4641/12500

Here is the solution for converting 0.37128 to a fraction:

Step 1:

First, we write 0.37128 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!

0.37128/1

  =  

0.37128 x 100000/1 x 100000

  =  

37128/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 37128 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 37128 are: 1  2  3  4  6  7  8  12  13  14  17  21  24  26  28  34  39  42  51  52  56  68  78  84  91  102  104  119  136  156  168  182  204  221  238  273  312  357  364  408  442  476  546  663  714  728  884  952  1092  1326  1428  1547  1768  2184  2652  2856  3094  4641  5304  6188  9282  12376  18564  37128 
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 37128 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.

37128/100000

  =  

37128 ÷ 8/100000 ÷ 8

  =  

4641/12500

Good work! We have just walked through the steps on how to represent 0.37128 as a fraction.