What is 0.74382 as a fraction?

Answer: 0.74382 as a fraction equals 74382/100000 or 37191/50000

Here is the solution for converting 0.74382 to a fraction:

Step 1:

First, we write 0.74382 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!

0.74382/1

  =  

0.74382 x 100000/1 x 100000

  =  

74382/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 74382 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 74382 are: 1  2  3  6  7  11  14  21  22  23  33  42  46  49  66  69  77  98  138  147  154  161  231  253  294  322  462  483  506  539  759  966  1078  1127  1518  1617  1771  2254  3234  3381  3542  5313  6762  10626  12397  24794  37191  74382 
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 74382 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.

74382/100000

  =  

74382 ÷ 2/100000 ÷ 2

  =  

37191/50000

Good work! We have just walked through the steps on how to represent 0.74382 as a fraction.