What is 0.85698 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 0.85698 into a fraction.

Answer: 0.85698 as a fraction equals 85698/100000 or 42849/50000

Here is the solution for converting 0.85698 to a fraction:

Step 1:

First, we write 0.85698 as  
0.85698/1

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!
0.85698/1
  =  
0.85698 x 100000/1 x 100000
  =  
85698/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 85698 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 85698 are: 1  2  3  6  9  18  23  27  46  54  69  81  138  162  207  414  529  621  1058  1242  1587  1863  3174  3726  4761  9522  14283  28566  42849  85698 
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 85698 and 100000 that gives us a GCF value of: 2

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.
85698/100000
  =  
85698 ÷ 2/100000 ÷ 2
  =  
42849/50000


Good work! We have just walked through the steps on how to represent 0.85698 as a fraction.

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