What is 2.00328 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 2.00328 into a fraction.

Answer: 2.00328 as a fraction equals 200328/100000 or 25041/12500

Here is the solution for converting 2.00328 to a fraction:

Step 1:

First, we write 2.00328 as  
2.00328/1

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!
2.00328/1
  =  
2.00328 x 100000/1 x 100000
  =  
200328/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 200328 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 200328 are: 1  2  3  4  6  8  12  17  24  34  51  68  102  136  204  408  491  982  1473  1964  2946  3928  5892  8347  11784  16694  25041  33388  50082  66776  100164  200328 
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 200328 and 100000 that gives us a GCF value of: 8

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.
200328/100000
  =  
200328 ÷ 8/100000 ÷ 8
  =  
25041/12500


Good work! We have just walked through the steps on how to represent 2.00328 as a fraction.

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