What is 1.64724 as a fraction?

Answer: 1.64724 as a fraction equals 164724/100000 or 41181/25000

Here is the solution for converting 1.64724 to a fraction:

Step 1:

First, we write 1.64724 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!

1.64724/1

  =  

1.64724 x 100000/1 x 100000

  =  

164724/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 164724 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 164724 are: 1  2  3  4  6  7  12  14  21  28  37  42  53  74  84  106  111  148  159  212  222  259  318  371  444  518  636  742  777  1036  1113  1484  1554  1961  2226  3108  3922  4452  5883  7844  11766  13727  23532  27454  41181  54908  82362  164724 
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 164724 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.

164724/100000

  =  

164724 ÷ 4/100000 ÷ 4

  =  

41181/25000

Good work! We have just walked through the steps on how to represent 1.64724 as a fraction.