What is 3.17625 as a fraction?

Answer: 3.17625 as a fraction equals 317625/100000 or 2541/800

Here is the solution for converting 3.17625 to a fraction:

Step 1:

First, we write 3.17625 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!

3.17625/1

  =  

3.17625 x 100000/1 x 100000

  =  

317625/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 317625 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 317625 are: 1  3  5  7  11  15  21  25  33  35  55  75  77  105  121  125  165  175  231  275  363  375  385  525  605  825  847  875  1155  1375  1815  1925  2541  2625  3025  4125  4235  5775  9075  9625  12705  15125  21175  28875  45375  63525  105875  317625 
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 317625 and 100000 that gives us a GCF value of: 125

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.

317625/100000

  =  

317625 ÷ 125/100000 ÷ 125

  =  

2541/800

Good work! We have just walked through the steps on how to represent 3.17625 as a fraction.