What is 1.59828 as a fraction?

Answer: 1.59828 as a fraction equals 159828/100000 or 39957/25000

Here is the solution for converting 1.59828 to a fraction:

Step 1:

First, we write 1.59828 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!

1.59828/1

  =  

1.59828 x 100000/1 x 100000

  =  

159828/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 159828 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 159828 are: 1  2  3  4  6  12  19  38  57  76  114  228  701  1402  2103  2804  4206  8412  13319  26638  39957  53276  79914  159828 
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 159828 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.

159828/100000

  =  

159828 ÷ 4/100000 ÷ 4

  =  

39957/25000

Good work! We have just walked through the steps on how to represent 1.59828 as a fraction.