What is 2.8272 as a fraction?

Answer: 2.8272 as a fraction equals 28272/10000 or 1767/625

Here is the solution for converting 2.8272 to a fraction:

Step 1:

First, we write 2.8272 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!

2.8272/1

  =  

2.8272 x 10000/1 x 10000

  =  

28272/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 28272 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 28272 are: 1  2  3  4  6  8  12  16  19  24  31  38  48  57  62  76  93  114  124  152  186  228  248  304  372  456  496  589  744  912  1178  1488  1767  2356  3534  4712  7068  9424  14136  28272 
The factors of 10000 are: 1  2  4  5  8  10  16  20  25  40  50  80  100  125  200  250  400  500  625  1000  1250  2000  2500  5000  10000 
So for 28272 and 10000 that gives us a GCF value of: 16

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.

28272/10000

  =  

28272 ÷ 16/10000 ÷ 16

  =  

1767/625

Good work! We have just walked through the steps on how to represent 2.8272 as a fraction.