What is 1.89144 as a fraction?

Answer: 1.89144 as a fraction equals 189144/100000 or 23643/12500

Here is the solution for converting 1.89144 to a fraction:

Step 1:

First, we write 1.89144 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!

1.89144/1

  =  

1.89144 x 100000/1 x 100000

  =  

189144/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 189144 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 189144 are: 1  2  3  4  6  8  9  12  18  24  36  37  71  72  74  111  142  148  213  222  284  296  333  426  444  568  639  666  852  888  1278  1332  1704  2556  2627  2664  5112  5254  7881  10508  15762  21016  23643  31524  47286  63048  94572  189144 
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 189144 and 100000 that gives us a GCF value of: 8

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.

189144/100000

  =  

189144 ÷ 8/100000 ÷ 8

  =  

23643/12500

Good work! We have just walked through the steps on how to represent 1.89144 as a fraction.