What is 3.87324 as a fraction?

Answer: 3.87324 as a fraction equals 387324/100000 or 96831/25000

Here is the solution for converting 3.87324 to a fraction:

Step 1:

First, we write 3.87324 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!

3.87324/1

  =  

3.87324 x 100000/1 x 100000

  =  

387324/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 387324 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 387324 are: 1  2  3  4  6  7  9  12  14  18  21  28  29  36  42  53  58  63  84  87  106  116  126  159  174  203  212  252  261  318  348  371  406  477  522  609  636  742  812  954  1044  1113  1218  1484  1537  1827  1908  2226  2436  3074  3339  3654  4452  4611  6148  6678  7308  9222  10759  13356  13833  18444  21518  27666  32277  43036  55332  64554  96831  129108  193662  387324 
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 387324 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.

387324/100000

  =  

387324 ÷ 4/100000 ÷ 4

  =  

96831/25000

Good work! We have just walked through the steps on how to represent 3.87324 as a fraction.