What is 6.49296 as a fraction?

Answer: 6.49296 as a fraction equals 649296/100000 or 40581/6250

Here is the solution for converting 6.49296 to a fraction:

Step 1:

First, we write 6.49296 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!

6.49296/1

  =  

6.49296 x 100000/1 x 100000

  =  

649296/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 649296 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 649296 are: 1  2  3  4  6  8  9  12  16  18  24  27  36  48  54  72  81  108  144  162  167  216  243  324  334  432  486  501  648  668  972  1002  1296  1336  1503  1944  2004  2672  3006  3888  4008  4509  6012  8016  9018  12024  13527  18036  24048  27054  36072  40581  54108  72144  81162  108216  162324  216432  324648  649296 
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 649296 and 100000 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.

649296/100000

  =  

649296 ÷ 16/100000 ÷ 16

  =  

40581/6250

Good work! We have just walked through the steps on how to represent 6.49296 as a fraction.