What is 0.74214 as a fraction?

Answer: 0.74214 as a fraction equals 74214/100000 or 37107/50000

Here is the solution for converting 0.74214 to a fraction:

Step 1:

First, we write 0.74214 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!

0.74214/1

  =  

0.74214 x 100000/1 x 100000

  =  

74214/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 74214 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 74214 are: 1  2  3  6  7  9  14  18  19  21  31  38  42  57  62  63  93  114  126  133  171  186  217  266  279  342  399  434  558  589  651  798  1178  1197  1302  1767  1953  2394  3534  3906  4123  5301  8246  10602  12369  24738  37107  74214 
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 74214 and 100000 that gives us a GCF value of: 2

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.

74214/100000

  =  

74214 ÷ 2/100000 ÷ 2

  =  

37107/50000

Good work! We have just walked through the steps on how to represent 0.74214 as a fraction.