What is 2.80224 as a fraction?

Answer: 2.80224 as a fraction equals 280224/100000 or 8757/3125

Here is the solution for converting 2.80224 to a fraction:

Step 1:

First, we write 2.80224 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!

2.80224/1

  =  

2.80224 x 100000/1 x 100000

  =  

280224/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 280224 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 280224 are: 1  2  3  4  6  7  8  9  12  14  16  18  21  24  28  32  36  42  48  56  63  72  84  96  112  126  139  144  168  224  252  278  288  336  417  504  556  672  834  973  1008  1112  1251  1668  1946  2016  2224  2502  2919  3336  3892  4448  5004  5838  6672  7784  8757  10008  11676  13344  15568  17514  20016  23352  31136  35028  40032  46704  70056  93408  140112  280224 
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 280224 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.

280224/100000

  =  

280224 ÷ 32/100000 ÷ 32

  =  

8757/3125

Good work! We have just walked through the steps on how to represent 2.80224 as a fraction.