What is 4.1976 as a fraction?

Answer: 4.1976 as a fraction equals 41976/10000 or 5247/1250

Here is the solution for converting 4.1976 to a fraction:

Step 1:

First, we write 4.1976 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!

4.1976/1

  =  

4.1976 x 10000/1 x 10000

  =  

41976/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 41976 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 41976 are: 1  2  3  4  6  8  9  11  12  18  22  24  33  36  44  53  66  72  88  99  106  132  159  198  212  264  318  396  424  477  583  636  792  954  1166  1272  1749  1908  2332  3498  3816  4664  5247  6996  10494  13992  20988  41976 
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 41976 and 10000 that gives us a GCF value of: 8

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.

41976/10000

  =  

41976 ÷ 8/10000 ÷ 8

  =  

5247/1250

Good work! We have just walked through the steps on how to represent 4.1976 as a fraction.