What is 2.47744 as a fraction?

Answer: 2.47744 as a fraction equals 247744/100000 or 7742/3125

Here is the solution for converting 2.47744 to a fraction:

Step 1:

First, we write 2.47744 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!

2.47744/1

  =  

2.47744 x 100000/1 x 100000

  =  

247744/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 247744 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 247744 are: 1  2  4  7  8  14  16  28  32  49  56  64  79  98  112  158  196  224  316  392  448  553  632  784  1106  1264  1568  2212  2528  3136  3871  4424  5056  7742  8848  15484  17696  30968  35392  61936  123872  247744 
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 247744 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.

247744/100000

  =  

247744 ÷ 32/100000 ÷ 32

  =  

7742/3125

Good work! We have just walked through the steps on how to represent 2.47744 as a fraction.