What is 0.72576 as a fraction?

Answer: 0.72576 as a fraction equals 72576/100000 or 2268/3125

Here is the solution for converting 0.72576 to a fraction:

Step 1:

First, we write 0.72576 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!

0.72576/1

  =  

0.72576 x 100000/1 x 100000

  =  

72576/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 72576 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 72576 are: 1  2  3  4  6  7  8  9  12  14  16  18  21  24  27  28  32  36  42  48  54  56  63  64  72  81  84  96  108  112  126  128  144  162  168  189  192  216  224  252  288  324  336  378  384  432  448  504  567  576  648  672  756  864  896  1008  1134  1152  1296  1344  1512  1728  2016  2268  2592  2688  3024  3456  4032  4536  5184  6048  8064  9072  10368  12096  18144  24192  36288  72576 
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 72576 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.

72576/100000

  =  

72576 ÷ 32/100000 ÷ 32

  =  

2268/3125

Good work! We have just walked through the steps on how to represent 0.72576 as a fraction.