What is 4.62644 as a fraction?

Answer: 4.62644 as a fraction equals 462644/100000 or 115661/25000

Here is the solution for converting 4.62644 to a fraction:

Step 1:

First, we write 4.62644 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!

4.62644/1

  =  

4.62644 x 100000/1 x 100000

  =  

462644/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 462644 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 462644 are: 1  2  4  7  13  14  26  28  31  41  52  62  82  91  124  164  182  217  287  364  403  434  533  574  806  868  1066  1148  1271  1612  2132  2542  2821  3731  5084  5642  7462  8897  11284  14924  16523  17794  33046  35588  66092  115661  231322  462644 
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 462644 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.

462644/100000

  =  

462644 ÷ 4/100000 ÷ 4

  =  

115661/25000

Good work! We have just walked through the steps on how to represent 4.62644 as a fraction.