What is 4.29858 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 4.29858 into a fraction.

Answer: 4.29858 as a fraction equals 429858/100000 or 214929/50000

Here is the solution for converting 4.29858 to a fraction:

Step 1:

First, we write 4.29858 as  
4.29858/1

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!
4.29858/1
  =  
4.29858 x 100000/1 x 100000
  =  
429858/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 429858 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 429858 are: 1  2  3  6  9  11  13  18  22  26  33  39  66  78  99  117  143  167  198  234  286  334  429  501  858  1002  1287  1503  1837  2171  2574  3006  3674  4342  5511  6513  11022  13026  16533  19539  23881  33066  39078  47762  71643  143286  214929  429858 
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 429858 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.
429858/100000
  =  
429858 ÷ 2/100000 ÷ 2
  =  
214929/50000


Good work! We have just walked through the steps on how to represent 4.29858 as a fraction.

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