What is 0.45696 as a fraction?

Answer: 0.45696 as a fraction equals 45696/100000 or 1428/3125

Here is the solution for converting 0.45696 to a fraction:

Step 1:

First, we write 0.45696 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!

0.45696/1

  =  

0.45696 x 100000/1 x 100000

  =  

45696/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 45696 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 45696 are: 1  2  3  4  6  7  8  12  14  16  17  21  24  28  32  34  42  48  51  56  64  68  84  96  102  112  119  128  136  168  192  204  224  238  272  336  357  384  408  448  476  544  672  714  816  896  952  1088  1344  1428  1632  1904  2176  2688  2856  3264  3808  5712  6528  7616  11424  15232  22848  45696 
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 45696 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.

45696/100000

  =  

45696 ÷ 32/100000 ÷ 32

  =  

1428/3125

Good work! We have just walked through the steps on how to represent 0.45696 as a fraction.