What is 1.38312 as a fraction?

Answer: 1.38312 as a fraction equals 138312/100000 or 17289/12500

Here is the solution for converting 1.38312 to a fraction:

Step 1:

First, we write 1.38312 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!

1.38312/1

  =  

1.38312 x 100000/1 x 100000

  =  

138312/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 138312 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 138312 are: 1  2  3  4  6  8  9  12  17  18  24  34  36  51  68  72  102  113  136  153  204  226  306  339  408  452  612  678  904  1017  1224  1356  1921  2034  2712  3842  4068  5763  7684  8136  11526  15368  17289  23052  34578  46104  69156  138312 
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 138312 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.

138312/100000

  =  

138312 ÷ 8/100000 ÷ 8

  =  

17289/12500

Good work! We have just walked through the steps on how to represent 1.38312 as a fraction.