What is 2.38728 as a fraction?

Answer: 2.38728 as a fraction equals 238728/100000 or 29841/12500

Here is the solution for converting 2.38728 to a fraction:

Step 1:

First, we write 2.38728 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!

2.38728/1

  =  

2.38728 x 100000/1 x 100000

  =  

238728/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 238728 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 238728 are: 1  2  3  4  6  7  8  12  14  21  24  28  29  42  49  56  58  84  87  98  116  147  168  174  196  203  232  294  343  348  392  406  588  609  686  696  812  1029  1176  1218  1372  1421  1624  2058  2436  2744  2842  4116  4263  4872  5684  8232  8526  9947  11368  17052  19894  29841  34104  39788  59682  79576  119364  238728 
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 238728 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.

238728/100000

  =  

238728 ÷ 8/100000 ÷ 8

  =  

29841/12500

Good work! We have just walked through the steps on how to represent 2.38728 as a fraction.