What is 0.87584 as a fraction?

Answer: 0.87584 as a fraction equals 87584/100000 or 2737/3125

Here is the solution for converting 0.87584 to a fraction:

Step 1:

First, we write 0.87584 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!

0.87584/1

  =  

0.87584 x 100000/1 x 100000

  =  

87584/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 87584 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 87584 are: 1  2  4  7  8  14  16  17  23  28  32  34  46  56  68  92  112  119  136  161  184  224  238  272  322  368  391  476  544  644  736  782  952  1288  1564  1904  2576  2737  3128  3808  5152  5474  6256  10948  12512  21896  43792  87584 
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 87584 and 100000 that gives us a GCF value of: 32

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.

87584/100000

  =  

87584 ÷ 32/100000 ÷ 32

  =  

2737/3125

Good work! We have just walked through the steps on how to represent 0.87584 as a fraction.