What is 2.74688 as a fraction?

Answer: 2.74688 as a fraction equals 274688/100000 or 8584/3125

Here is the solution for converting 2.74688 to a fraction:

Step 1:

First, we write 2.74688 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!

2.74688/1

  =  

2.74688 x 100000/1 x 100000

  =  

274688/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 274688 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 274688 are: 1  2  4  8  16  29  32  37  58  64  74  116  128  148  232  256  296  464  592  928  1073  1184  1856  2146  2368  3712  4292  4736  7424  8584  9472  17168  34336  68672  137344  274688 
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 274688 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.

274688/100000

  =  

274688 ÷ 32/100000 ÷ 32

  =  

8584/3125

Good work! We have just walked through the steps on how to represent 2.74688 as a fraction.