What is 2.78355 as a fraction?

Answer: 2.78355 as a fraction equals 278355/100000 or 55671/20000

Here is the solution for converting 2.78355 to a fraction:

Step 1:

First, we write 2.78355 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!

2.78355/1

  =  

2.78355 x 100000/1 x 100000

  =  

278355/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 278355 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 278355 are: 1  3  5  7  11  15  21  33  35  55  77  105  165  231  241  385  723  1155  1205  1687  2651  3615  5061  7953  8435  13255  18557  25305  39765  55671  92785  278355 
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 278355 and 100000 that gives us a GCF value of: 5

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.

278355/100000

  =  

278355 ÷ 5/100000 ÷ 5

  =  

55671/20000

Good work! We have just walked through the steps on how to represent 2.78355 as a fraction.