What is 4.94624 as a fraction?

Answer: 4.94624 as a fraction equals 494624/100000 or 15457/3125

Here is the solution for converting 4.94624 to a fraction:

Step 1:

First, we write 4.94624 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!

4.94624/1

  =  

4.94624 x 100000/1 x 100000

  =  

494624/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 494624 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 494624 are: 1  2  4  8  13  16  26  29  32  41  52  58  82  104  116  164  208  232  328  377  416  464  533  656  754  928  1066  1189  1312  1508  2132  2378  3016  4264  4756  6032  8528  9512  12064  15457  17056  19024  30914  38048  61828  123656  247312  494624 
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 494624 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.

494624/100000

  =  

494624 ÷ 32/100000 ÷ 32

  =  

15457/3125

Good work! We have just walked through the steps on how to represent 4.94624 as a fraction.