What is 1.89344 as a fraction?

Answer: 1.89344 as a fraction equals 189344/100000 or 5917/3125

Here is the solution for converting 1.89344 to a fraction:

Step 1:

First, we write 1.89344 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!

1.89344/1

  =  

1.89344 x 100000/1 x 100000

  =  

189344/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 189344 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 189344 are: 1  2  4  8  16  32  61  97  122  194  244  388  488  776  976  1552  1952  3104  5917  11834  23668  47336  94672  189344 
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 189344 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.

189344/100000

  =  

189344 ÷ 32/100000 ÷ 32

  =  

5917/3125

Good work! We have just walked through the steps on how to represent 1.89344 as a fraction.