What is 1.08864 as a fraction?

Answer: 1.08864 as a fraction equals 108864/100000 or 3402/3125

Here is the solution for converting 1.08864 to a fraction:

Step 1:

First, we write 1.08864 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!

1.08864/1

  =  

1.08864 x 100000/1 x 100000

  =  

108864/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 108864 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 108864 are: 1  2  3  4  6  7  8  9  12  14  16  18  21  24  27  28  32  36  42  48  54  56  63  64  72  81  84  96  108  112  126  144  162  168  189  192  216  224  243  252  288  324  336  378  432  448  486  504  567  576  648  672  756  864  972  1008  1134  1296  1344  1512  1701  1728  1944  2016  2268  2592  3024  3402  3888  4032  4536  5184  6048  6804  7776  9072  12096  13608  15552  18144  27216  36288  54432  108864 
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 108864 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.

108864/100000

  =  

108864 ÷ 32/100000 ÷ 32

  =  

3402/3125

Good work! We have just walked through the steps on how to represent 1.08864 as a fraction.