What is 1.59768 as a fraction?

Answer: 1.59768 as a fraction equals 159768/100000 or 19971/12500

Here is the solution for converting 1.59768 to a fraction:

Step 1:

First, we write 1.59768 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!

1.59768/1

  =  

1.59768 x 100000/1 x 100000

  =  

159768/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 159768 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 159768 are: 1  2  3  4  6  7  8  9  12  14  18  21  24  28  36  42  56  63  72  84  126  168  252  317  504  634  951  1268  1902  2219  2536  2853  3804  4438  5706  6657  7608  8876  11412  13314  17752  19971  22824  26628  39942  53256  79884  159768 
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 159768 and 100000 that gives us a GCF value of: 8

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.

159768/100000

  =  

159768 ÷ 8/100000 ÷ 8

  =  

19971/12500

Good work! We have just walked through the steps on how to represent 1.59768 as a fraction.