What is 4.89888 as a fraction?

Answer: 4.89888 as a fraction equals 489888/100000 or 15309/3125

Here is the solution for converting 4.89888 to a fraction:

Step 1:

First, we write 4.89888 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!

4.89888/1

  =  

4.89888 x 100000/1 x 100000

  =  

489888/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 489888 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 489888 are: 1  2  3  4  6  7  8  9  12  14  16  18  21  24  27  28  32  36  42  48  54  56  63  72  81  84  96  108  112  126  144  162  168  189  216  224  243  252  288  324  336  378  432  486  504  567  648  672  729  756  864  972  1008  1134  1296  1458  1512  1701  1944  2016  2187  2268  2592  2916  3024  3402  3888  4374  4536  5103  5832  6048  6804  7776  8748  9072  10206  11664  13608  15309  17496  18144  20412  23328  27216  30618  34992  40824  54432  61236  69984  81648  122472  163296  244944  489888 
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 489888 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.

489888/100000

  =  

489888 ÷ 32/100000 ÷ 32

  =  

15309/3125

Good work! We have just walked through the steps on how to represent 4.89888 as a fraction.