What is 1.8144 as a fraction?

Answer: 1.8144 as a fraction equals 18144/10000 or 1134/625

Here is the solution for converting 1.8144 to a fraction:

Step 1:

First, we write 1.8144 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!

1.8144/1

  =  

1.8144 x 10000/1 x 10000

  =  

18144/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 18144 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 18144 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  252  288  324  336  378  432  504  567  648  672  756  864  1008  1134  1296  1512  2016  2268  2592  3024  4536  6048  9072  18144 
The factors of 10000 are: 1  2  4  5  8  10  16  20  25  40  50  80  100  125  200  250  400  500  625  1000  1250  2000  2500  5000  10000 
So for 18144 and 10000 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.

18144/10000

  =  

18144 ÷ 16/10000 ÷ 16

  =  

1134/625

Good work! We have just walked through the steps on how to represent 1.8144 as a fraction.