What is 7.28676 as a fraction?

Answer: 7.28676 as a fraction equals 728676/100000 or 182169/25000

Here is the solution for converting 7.28676 to a fraction:

Step 1:

First, we write 7.28676 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!

7.28676/1

  =  

7.28676 x 100000/1 x 100000

  =  

728676/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 728676 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 728676 are: 1  2  3  4  6  9  12  13  18  26  27  36  39  52  54  78  81  108  117  156  162  173  234  324  346  351  468  519  692  702  1038  1053  1404  1557  2076  2106  2249  3114  4212  4498  4671  6228  6747  8996  9342  13494  14013  18684  20241  26988  28026  40482  56052  60723  80964  121446  182169  242892  364338  728676 
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 728676 and 100000 that gives us a GCF value of: 4

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.

728676/100000

  =  

728676 ÷ 4/100000 ÷ 4

  =  

182169/25000

Good work! We have just walked through the steps on how to represent 7.28676 as a fraction.