What is 3.37725 as a fraction?

Answer: 3.37725 as a fraction equals 337725/100000 or 13509/4000

Here is the solution for converting 3.37725 to a fraction:

Step 1:

First, we write 3.37725 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!

3.37725/1

  =  

3.37725 x 100000/1 x 100000

  =  

337725/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 337725 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 337725 are: 1  3  5  9  15  19  25  45  57  75  79  95  171  225  237  285  395  475  711  855  1185  1425  1501  1975  3555  4275  4503  5925  7505  13509  17775  22515  37525  67545  112575  337725 
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 337725 and 100000 that gives us a GCF value of: 25

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.

337725/100000

  =  

337725 ÷ 25/100000 ÷ 25

  =  

13509/4000

Good work! We have just walked through the steps on how to represent 3.37725 as a fraction.