What is 0.85008 as a fraction?

Numbers can be represented in a variety of ways including percentages, decimals, and fractions. The ability to convert any number from one format to another is an important math skill to have. These skills are typically thought in fifth grade math and require an understanding of place values and Greatest Common Factor (GCF).

In this article, we teach those skills step by step while demonstrating how to convert decimal 0.85008 into a fraction.

Answer: 0.85008 as a fraction equals 85008/100000 or 5313/6250

Here is the solution for converting 0.85008 to a fraction:

Step 1:

First, we write 0.85008 as  
0.85008/1

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!
0.85008/1
  =  
0.85008 x 100000/1 x 100000
  =  
85008/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 85008 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 85008 are: 1  2  3  4  6  7  8  11  12  14  16  21  22  23  24  28  33  42  44  46  48  56  66  69  77  84  88  92  112  132  138  154  161  168  176  184  231  253  264  276  308  322  336  368  462  483  506  528  552  616  644  759  924  966  1012  1104  1232  1288  1518  1771  1848  1932  2024  2576  3036  3542  3696  3864  4048  5313  6072  7084  7728  10626  12144  14168  21252  28336  42504  85008 
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 85008 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.
85008/100000
  =  
85008 ÷ 16/100000 ÷ 16
  =  
5313/6250


Good work! We have just walked through the steps on how to represent 0.85008 as a fraction.

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