What is 2.76224 as a fraction?

Answer: 2.76224 as a fraction equals 276224/100000 or 8632/3125

Here is the solution for converting 2.76224 to a fraction:

Step 1:

First, we write 2.76224 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!

2.76224/1

  =  

2.76224 x 100000/1 x 100000

  =  

276224/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 276224 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 276224 are: 1  2  4  8  13  16  26  32  52  64  83  104  128  166  208  256  332  416  664  832  1079  1328  1664  2158  2656  3328  4316  5312  8632  10624  17264  21248  34528  69056  138112  276224 
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 276224 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.

276224/100000

  =  

276224 ÷ 32/100000 ÷ 32

  =  

8632/3125

Good work! We have just walked through the steps on how to represent 2.76224 as a fraction.