What is 2.77888 as a fraction?

Answer: 2.77888 as a fraction equals 277888/100000 or 8684/3125

Here is the solution for converting 2.77888 to a fraction:

Step 1:

First, we write 2.77888 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!

2.77888/1

  =  

2.77888 x 100000/1 x 100000

  =  

277888/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 277888 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 277888 are: 1  2  4  8  13  16  26  32  52  64  104  128  167  208  334  416  668  832  1336  1664  2171  2672  4342  5344  8684  10688  17368  21376  34736  69472  138944  277888 
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 277888 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.

277888/100000

  =  

277888 ÷ 32/100000 ÷ 32

  =  

8684/3125

Good work! We have just walked through the steps on how to represent 2.77888 as a fraction.