What is 1.73166 as a fraction?

Answer: 1.73166 as a fraction equals 173166/100000 or 86583/50000

Here is the solution for converting 1.73166 to a fraction:

Step 1:

First, we write 1.73166 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!

1.73166/1

  =  

1.73166 x 100000/1 x 100000

  =  

173166/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 173166 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 173166 are: 1  2  3  6  7  14  19  21  31  38  42  49  57  62  93  98  114  133  147  186  217  266  294  399  434  589  651  798  931  1178  1302  1519  1767  1862  2793  3038  3534  4123  4557  5586  8246  9114  12369  24738  28861  57722  86583  173166 
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 173166 and 100000 that gives us a GCF value of: 2

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.

173166/100000

  =  

173166 ÷ 2/100000 ÷ 2

  =  

86583/50000

Good work! We have just walked through the steps on how to represent 1.73166 as a fraction.