What is 2.6976 as a fraction?

Answer: 2.6976 as a fraction equals 26976/10000 or 1686/625

Here is the solution for converting 2.6976 to a fraction:

Step 1:

First, we write 2.6976 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!

2.6976/1

  =  

2.6976 x 10000/1 x 10000

  =  

26976/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 26976 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 26976 are: 1  2  3  4  6  8  12  16  24  32  48  96  281  562  843  1124  1686  2248  3372  4496  6744  8992  13488  26976 
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 26976 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.

26976/10000

  =  

26976 ÷ 16/10000 ÷ 16

  =  

1686/625

Good work! We have just walked through the steps on how to represent 2.6976 as a fraction.