What is 0.87024 as a fraction?

Answer: 0.87024 as a fraction equals 87024/100000 or 5439/6250

Here is the solution for converting 0.87024 to a fraction:

Step 1:

First, we write 0.87024 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!

0.87024/1

  =  

0.87024 x 100000/1 x 100000

  =  

87024/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 87024 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 87024 are: 1  2  3  4  6  7  8  12  14  16  21  24  28  37  42  48  49  56  74  84  98  111  112  147  148  168  196  222  259  294  296  336  392  444  518  588  592  777  784  888  1036  1176  1554  1776  1813  2072  2352  3108  3626  4144  5439  6216  7252  10878  12432  14504  21756  29008  43512  87024 
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 87024 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.

87024/100000

  =  

87024 ÷ 16/100000 ÷ 16

  =  

5439/6250

Good work! We have just walked through the steps on how to represent 0.87024 as a fraction.