What is 1.63744 as a fraction?

Answer: 1.63744 as a fraction equals 163744/100000 or 5117/3125

Here is the solution for converting 1.63744 to a fraction:

Step 1:

First, we write 1.63744 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!

1.63744/1

  =  

1.63744 x 100000/1 x 100000

  =  

163744/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 163744 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 163744 are: 1  2  4  7  8  14  16  17  28  32  34  43  56  68  86  112  119  136  172  224  238  272  301  344  476  544  602  688  731  952  1204  1376  1462  1904  2408  2924  3808  4816  5117  5848  9632  10234  11696  20468  23392  40936  81872  163744 
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 163744 and 100000 that gives us a GCF value of: 32

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.

163744/100000

  =  

163744 ÷ 32/100000 ÷ 32

  =  

5117/3125

Good work! We have just walked through the steps on how to represent 1.63744 as a fraction.