What is 1.65828 as a fraction?

Answer: 1.65828 as a fraction equals 165828/100000 or 41457/25000

Here is the solution for converting 1.65828 to a fraction:

Step 1:

First, we write 1.65828 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!

1.65828/1

  =  

1.65828 x 100000/1 x 100000

  =  

165828/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 165828 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 165828 are: 1  2  3  4  6  12  13  26  39  52  78  156  1063  2126  3189  4252  6378  12756  13819  27638  41457  55276  82914  165828 
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 165828 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.

165828/100000

  =  

165828 ÷ 4/100000 ÷ 4

  =  

41457/25000

Good work! We have just walked through the steps on how to represent 1.65828 as a fraction.