What is 1.89744 as a fraction?

Answer: 1.89744 as a fraction equals 189744/100000 or 11859/6250

Here is the solution for converting 1.89744 to a fraction:

Step 1:

First, we write 1.89744 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!

1.89744/1

  =  

1.89744 x 100000/1 x 100000

  =  

189744/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 189744 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 189744 are: 1  2  3  4  6  8  12  16  24  48  59  67  118  134  177  201  236  268  354  402  472  536  708  804  944  1072  1416  1608  2832  3216  3953  7906  11859  15812  23718  31624  47436  63248  94872  189744 
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 189744 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.

189744/100000

  =  

189744 ÷ 16/100000 ÷ 16

  =  

11859/6250

Good work! We have just walked through the steps on how to represent 1.89744 as a fraction.