What is 1.59705 as a fraction?

Answer: 1.59705 as a fraction equals 159705/100000 or 31941/20000

Here is the solution for converting 1.59705 to a fraction:

Step 1:

First, we write 1.59705 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!

1.59705/1

  =  

1.59705 x 100000/1 x 100000

  =  

159705/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 159705 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 159705 are: 1  3  5  7  9  13  15  21  27  35  39  45  63  65  91  105  117  135  169  189  195  273  315  351  455  507  585  819  845  945  1183  1365  1521  1755  2457  2535  3549  4095  4563  5915  7605  10647  12285  17745  22815  31941  53235  159705 
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 159705 and 100000 that gives us a GCF value of: 5

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.

159705/100000

  =  

159705 ÷ 5/100000 ÷ 5

  =  

31941/20000

Good work! We have just walked through the steps on how to represent 1.59705 as a fraction.