What is 3.15126 as a fraction?

Answer: 3.15126 as a fraction equals 315126/100000 or 157563/50000

Here is the solution for converting 3.15126 to a fraction:

Step 1:

First, we write 3.15126 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!

3.15126/1

  =  

3.15126 x 100000/1 x 100000

  =  

315126/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 315126 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 315126 are: 1  2  3  6  7  9  14  18  21  41  42  61  63  82  122  123  126  183  246  287  366  369  427  549  574  738  854  861  1098  1281  1722  2501  2562  2583  3843  5002  5166  7503  7686  15006  17507  22509  35014  45018  52521  105042  157563  315126 
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 315126 and 100000 that gives us a GCF value of: 2

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.

315126/100000

  =  

315126 ÷ 2/100000 ÷ 2

  =  

157563/50000

Good work! We have just walked through the steps on how to represent 3.15126 as a fraction.