What is 0.37884 as a fraction?

Answer: 0.37884 as a fraction equals 37884/100000 or 9471/25000

Here is the solution for converting 0.37884 to a fraction:

Step 1:

First, we write 0.37884 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!

0.37884/1

  =  

0.37884 x 100000/1 x 100000

  =  

37884/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 37884 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 37884 are: 1  2  3  4  6  7  11  12  14  21  22  28  33  41  42  44  66  77  82  84  123  132  154  164  231  246  287  308  451  462  492  574  861  902  924  1148  1353  1722  1804  2706  3157  3444  5412  6314  9471  12628  18942  37884 
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 37884 and 100000 that gives us a GCF value of: 4

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.

37884/100000

  =  

37884 ÷ 4/100000 ÷ 4

  =  

9471/25000

Good work! We have just walked through the steps on how to represent 0.37884 as a fraction.