What is 7.74336 as a fraction?

Answer: 7.74336 as a fraction equals 774336/100000 or 24198/3125

Here is the solution for converting 7.74336 to a fraction:

Step 1:

First, we write 7.74336 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!

7.74336/1

  =  

7.74336 x 100000/1 x 100000

  =  

774336/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 774336 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 774336 are: 1  2  3  4  6  8  12  16  24  32  37  48  64  74  96  109  111  148  192  218  222  296  327  436  444  592  654  872  888  1184  1308  1744  1776  2368  2616  3488  3552  4033  5232  6976  7104  8066  10464  12099  16132  20928  24198  32264  48396  64528  96792  129056  193584  258112  387168  774336 
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 774336 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.

774336/100000

  =  

774336 ÷ 32/100000 ÷ 32

  =  

24198/3125

Good work! We have just walked through the steps on how to represent 7.74336 as a fraction.