What is 3.10284 as a fraction?

Answer: 3.10284 as a fraction equals 310284/100000 or 77571/25000

Here is the solution for converting 3.10284 to a fraction:

Step 1:

First, we write 3.10284 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!

3.10284/1

  =  

3.10284 x 100000/1 x 100000

  =  

310284/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 310284 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 310284 are: 1  2  3  4  6  9  12  13  17  18  26  27  34  36  39  51  52  54  68  78  102  108  117  153  156  169  204  221  234  306  338  351  442  459  468  507  612  663  676  702  884  918  1014  1326  1404  1521  1836  1989  2028  2652  2873  3042  3978  4563  5746  5967  6084  7956  8619  9126  11492  11934  17238  18252  23868  25857  34476  51714  77571  103428  155142  310284 
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 310284 and 100000 that gives us a GCF value of: 4

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.

310284/100000

  =  

310284 ÷ 4/100000 ÷ 4

  =  

77571/25000

Good work! We have just walked through the steps on how to represent 3.10284 as a fraction.