What is 1.72235 as a fraction?

Answer: 1.72235 as a fraction equals 172235/100000 or 34447/20000

Here is the solution for converting 1.72235 to a fraction:

Step 1:

First, we write 1.72235 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!

1.72235/1

  =  

1.72235 x 100000/1 x 100000

  =  

172235/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 172235 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 172235 are: 1  5  7  19  35  37  49  95  133  185  245  259  665  703  931  1295  1813  3515  4655  4921  9065  24605  34447  172235 
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 172235 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.

172235/100000

  =  

172235 ÷ 5/100000 ÷ 5

  =  

34447/20000

Good work! We have just walked through the steps on how to represent 1.72235 as a fraction.