What is 2.24256 as a fraction?

Answer: 2.24256 as a fraction equals 224256/100000 or 7008/3125

Here is the solution for converting 2.24256 to a fraction:

Step 1:

First, we write 2.24256 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!

2.24256/1

  =  

2.24256 x 100000/1 x 100000

  =  

224256/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 224256 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 224256 are: 1  2  3  4  6  8  12  16  24  32  48  64  73  96  128  146  192  219  256  292  384  438  512  584  768  876  1024  1168  1536  1752  2336  3072  3504  4672  7008  9344  14016  18688  28032  37376  56064  74752  112128  224256 
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 224256 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.

224256/100000

  =  

224256 ÷ 32/100000 ÷ 32

  =  

7008/3125

Good work! We have just walked through the steps on how to represent 2.24256 as a fraction.