What is 2.78992 as a fraction?

Answer: 2.78992 as a fraction equals 278992/100000 or 17437/6250

Here is the solution for converting 2.78992 to a fraction:

Step 1:

First, we write 2.78992 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!

2.78992/1

  =  

2.78992 x 100000/1 x 100000

  =  

278992/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 278992 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 278992 are: 1  2  4  7  8  14  16  28  47  53  56  94  106  112  188  212  329  371  376  424  658  742  752  848  1316  1484  2491  2632  2968  4982  5264  5936  9964  17437  19928  34874  39856  69748  139496  278992 
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 278992 and 100000 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.

278992/100000

  =  

278992 ÷ 16/100000 ÷ 16

  =  

17437/6250

Good work! We have just walked through the steps on how to represent 2.78992 as a fraction.