What is 4.62105 as a fraction?

Answer: 4.62105 as a fraction equals 462105/100000 or 92421/20000

Here is the solution for converting 4.62105 to a fraction:

Step 1:

First, we write 4.62105 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!

4.62105/1

  =  

4.62105 x 100000/1 x 100000

  =  

462105/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 462105 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 462105 are: 1  3  5  7  9  15  21  27  35  45  63  81  105  135  163  189  315  405  489  567  815  945  1141  1467  2445  2835  3423  4401  5705  7335  10269  13203  17115  22005  30807  51345  66015  92421  154035  462105 
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 462105 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.

462105/100000

  =  

462105 ÷ 5/100000 ÷ 5

  =  

92421/20000

Good work! We have just walked through the steps on how to represent 4.62105 as a fraction.