What is 4.09934 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 4.09934 into a fraction.

Answer: 4.09934 as a fraction equals 409934/100000 or 204967/50000

Here is the solution for converting 4.09934 to a fraction:

Step 1:

First, we write 4.09934 as  
4.09934/1

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!
4.09934/1
  =  
4.09934 x 100000/1 x 100000
  =  
409934/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 409934 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 409934 are: 1  2  7  14  47  49  89  94  98  178  329  623  658  1246  2303  4183  4361  4606  8366  8722  29281  58562  204967  409934 
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 409934 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.
409934/100000
  =  
409934 ÷ 2/100000 ÷ 2
  =  
204967/50000


Good work! We have just walked through the steps on how to represent 4.09934 as a fraction.

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