What is 3.11742 as a fraction?

Answer: 3.11742 as a fraction equals 311742/100000 or 155871/50000

Here is the solution for converting 3.11742 to a fraction:

Step 1:

First, we write 3.11742 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!

3.11742/1

  =  

3.11742 x 100000/1 x 100000

  =  

311742/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 311742 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 311742 are: 1  2  3  6  9  18  23  27  46  54  69  138  207  251  414  502  621  753  1242  1506  2259  4518  5773  6777  11546  13554  17319  34638  51957  103914  155871  311742 
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 311742 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.

311742/100000

  =  

311742 ÷ 2/100000 ÷ 2

  =  

155871/50000

Good work! We have just walked through the steps on how to represent 3.11742 as a fraction.