What is 2.3744 as a fraction?

Answer: 2.3744 as a fraction equals 23744/10000 or 1484/625

Here is the solution for converting 2.3744 to a fraction:

Step 1:

First, we write 2.3744 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!

2.3744/1

  =  

2.3744 x 10000/1 x 10000

  =  

23744/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 23744 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 23744 are: 1  2  4  7  8  14  16  28  32  53  56  64  106  112  212  224  371  424  448  742  848  1484  1696  2968  3392  5936  11872  23744 
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 23744 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.

23744/10000

  =  

23744 ÷ 16/10000 ÷ 16

  =  

1484/625

Good work! We have just walked through the steps on how to represent 2.3744 as a fraction.