What is 2.25888 as a fraction?

Answer: 2.25888 as a fraction equals 225888/100000 or 7059/3125

Here is the solution for converting 2.25888 to a fraction:

Step 1:

First, we write 2.25888 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!

2.25888/1

  =  

2.25888 x 100000/1 x 100000

  =  

225888/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 225888 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 225888 are: 1  2  3  4  6  8  12  13  16  24  26  32  39  48  52  78  96  104  156  181  208  312  362  416  543  624  724  1086  1248  1448  2172  2353  2896  4344  4706  5792  7059  8688  9412  14118  17376  18824  28236  37648  56472  75296  112944  225888 
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 225888 and 100000 that gives us a GCF value of: 32

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.

225888/100000

  =  

225888 ÷ 32/100000 ÷ 32

  =  

7059/3125

Good work! We have just walked through the steps on how to represent 2.25888 as a fraction.