What is 0.74256 as a fraction?

Answer: 0.74256 as a fraction equals 74256/100000 or 4641/6250

Here is the solution for converting 0.74256 to a fraction:

Step 1:

First, we write 0.74256 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!

0.74256/1

  =  

0.74256 x 100000/1 x 100000

  =  

74256/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 74256 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 74256 are: 1  2  3  4  6  7  8  12  13  14  16  17  21  24  26  28  34  39  42  48  51  52  56  68  78  84  91  102  104  112  119  136  156  168  182  204  208  221  238  272  273  312  336  357  364  408  442  476  546  624  663  714  728  816  884  952  1092  1326  1428  1456  1547  1768  1904  2184  2652  2856  3094  3536  4368  4641  5304  5712  6188  9282  10608  12376  18564  24752  37128  74256 
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 74256 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.

74256/100000

  =  

74256 ÷ 16/100000 ÷ 16

  =  

4641/6250

Good work! We have just walked through the steps on how to represent 0.74256 as a fraction.