What is 0.87984 as a fraction?

Answer: 0.87984 as a fraction equals 87984/100000 or 5499/6250

Here is the solution for converting 0.87984 to a fraction:

Step 1:

First, we write 0.87984 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!

0.87984/1

  =  

0.87984 x 100000/1 x 100000

  =  

87984/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 87984 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 87984 are: 1  2  3  4  6  8  9  12  13  16  18  24  26  36  39  47  48  52  72  78  94  104  117  141  144  156  188  208  234  282  312  376  423  468  564  611  624  752  846  936  1128  1222  1692  1833  1872  2256  2444  3384  3666  4888  5499  6768  7332  9776  10998  14664  21996  29328  43992  87984 
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 87984 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.

87984/100000

  =  

87984 ÷ 16/100000 ÷ 16

  =  

5499/6250

Good work! We have just walked through the steps on how to represent 0.87984 as a fraction.