What is 4.02804 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 4.02804 into a fraction.

Answer: 4.02804 as a fraction equals 402804/100000 or 100701/25000

Here is the solution for converting 4.02804 to a fraction:

Step 1:

First, we write 4.02804 as  
4.02804/1

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!
4.02804/1
  =  
4.02804 x 100000/1 x 100000
  =  
402804/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 402804 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 402804 are: 1  2  3  4  6  9  12  18  36  67  134  167  201  268  334  402  501  603  668  804  1002  1206  1503  2004  2412  3006  6012  11189  22378  33567  44756  67134  100701  134268  201402  402804 
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 402804 and 100000 that gives us a GCF value of: 4

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.
402804/100000
  =  
402804 ÷ 4/100000 ÷ 4
  =  
100701/25000


Good work! We have just walked through the steps on how to represent 4.02804 as a fraction.

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