What is 3.99024 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 3.99024 into a fraction.

Answer: 3.99024 as a fraction equals 399024/100000 or 24939/6250

Here is the solution for converting 3.99024 to a fraction:

Step 1:

First, we write 3.99024 as  
3.99024/1

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!
3.99024/1
  =  
3.99024 x 100000/1 x 100000
  =  
399024/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 399024 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 399024 are: 1  2  3  4  6  8  9  12  16  17  18  24  34  36  48  51  68  72  102  136  144  153  163  204  272  306  326  408  489  612  652  816  978  1224  1304  1467  1956  2448  2608  2771  2934  3912  5542  5868  7824  8313  11084  11736  16626  22168  23472  24939  33252  44336  49878  66504  99756  133008  199512  399024 
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 399024 and 100000 that gives us a GCF value of: 16

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.
399024/100000
  =  
399024 ÷ 16/100000 ÷ 16
  =  
24939/6250


Good work! We have just walked through the steps on how to represent 3.99024 as a fraction.

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