What is 1.71828 as a fraction?

Answer: 1.71828 as a fraction equals 171828/100000 or 42957/25000

Here is the solution for converting 1.71828 to a fraction:

Step 1:

First, we write 1.71828 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!

1.71828/1

  =  

1.71828 x 100000/1 x 100000

  =  

171828/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 171828 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 171828 are: 1  2  3  4  6  9  12  18  27  36  37  43  54  74  86  108  111  129  148  172  222  258  333  387  444  516  666  774  999  1161  1332  1548  1591  1998  2322  3182  3996  4644  4773  6364  9546  14319  19092  28638  42957  57276  85914  171828 
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 171828 and 100000 that gives us a GCF value of: 4

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.

171828/100000

  =  

171828 ÷ 4/100000 ÷ 4

  =  

42957/25000

Good work! We have just walked through the steps on how to represent 1.71828 as a fraction.