What is 4.83626 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 4.83626 into a fraction.

Answer: 4.83626 as a fraction equals 483626/100000 or 241813/50000

Here is the solution for converting 4.83626 to a fraction:

Step 1:

First, we write 4.83626 as  
4.83626/1

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!
4.83626/1
  =  
4.83626 x 100000/1 x 100000
  =  
483626/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 483626 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 483626 are: 1  2  11  13  19  22  26  38  89  143  178  209  247  286  418  494  979  1157  1691  1958  2314  2717  3382  5434  12727  18601  21983  25454  37202  43966  241813  483626 
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 483626 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.
483626/100000
  =  
483626 ÷ 2/100000 ÷ 2
  =  
241813/50000


Good work! We have just walked through the steps on how to represent 4.83626 as a fraction.

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