What is 2.85948 as a fraction?

Answer: 2.85948 as a fraction equals 285948/100000 or 71487/25000

Here is the solution for converting 2.85948 to a fraction:

Step 1:

First, we write 2.85948 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!

2.85948/1

  =  

2.85948 x 100000/1 x 100000

  =  

285948/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 285948 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 285948 are: 1  2  3  4  6  9  12  13  18  26  36  39  47  52  78  94  117  141  156  169  188  234  282  338  423  468  507  564  611  676  846  1014  1222  1521  1692  1833  2028  2444  3042  3666  5499  6084  7332  7943  10998  15886  21996  23829  31772  47658  71487  95316  142974  285948 
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 285948 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.

285948/100000

  =  

285948 ÷ 4/100000 ÷ 4

  =  

71487/25000

Good work! We have just walked through the steps on how to represent 2.85948 as a fraction.