What is 2.4624 as a fraction?

Answer: 2.4624 as a fraction equals 24624/10000 or 1539/625

Here is the solution for converting 2.4624 to a fraction:

Step 1:

First, we write 2.4624 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!

2.4624/1

  =  

2.4624 x 10000/1 x 10000

  =  

24624/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 24624 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 24624 are: 1  2  3  4  6  8  9  12  16  18  19  24  27  36  38  48  54  57  72  76  81  108  114  144  152  162  171  216  228  304  324  342  432  456  513  648  684  912  1026  1296  1368  1539  2052  2736  3078  4104  6156  8208  12312  24624 
The factors of 10000 are: 1  2  4  5  8  10  16  20  25  40  50  80  100  125  200  250  400  500  625  1000  1250  2000  2500  5000  10000 
So for 24624 and 10000 that gives us a GCF value of: 16

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.

24624/10000

  =  

24624 ÷ 16/10000 ÷ 16

  =  

1539/625

Good work! We have just walked through the steps on how to represent 2.4624 as a fraction.