What is 2.88144 as a fraction?

Answer: 2.88144 as a fraction equals 288144/100000 or 18009/6250

Here is the solution for converting 2.88144 to a fraction:

Step 1:

First, we write 2.88144 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!

2.88144/1

  =  

2.88144 x 100000/1 x 100000

  =  

288144/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 288144 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 288144 are: 1  2  3  4  6  8  9  12  16  18  23  24  27  29  36  46  48  54  58  69  72  87  92  108  116  138  144  174  184  207  216  232  261  276  348  368  414  432  464  522  552  621  667  696  783  828  1044  1104  1242  1334  1392  1566  1656  2001  2088  2484  2668  3132  3312  4002  4176  4968  5336  6003  6264  8004  9936  10672  12006  12528  16008  18009  24012  32016  36018  48024  72036  96048  144072  288144 
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 288144 and 100000 that gives us a GCF value of: 16

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.

288144/100000

  =  

288144 ÷ 16/100000 ÷ 16

  =  

18009/6250

Good work! We have just walked through the steps on how to represent 2.88144 as a fraction.