What is 0.42826 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 0.42826 into a fraction.

Answer: 0.42826 as a fraction equals 42826/100000 or 21413/50000

Here is the solution for converting 0.42826 to a fraction:

Step 1:

First, we write 0.42826 as  
0.42826/1

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!
0.42826/1
  =  
0.42826 x 100000/1 x 100000
  =  
42826/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 42826 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 42826 are: 1  2  7  14  19  23  38  46  49  98  133  161  266  322  437  874  931  1127  1862  2254  3059  6118  21413  42826 
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 42826 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.
42826/100000
  =  
42826 ÷ 2/100000 ÷ 2
  =  
21413/50000


Good work! We have just walked through the steps on how to represent 0.42826 as a fraction.

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