What is 2.40838 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 2.40838 into a fraction.

Answer: 2.40838 as a fraction equals 240838/100000 or 120419/50000

Here is the solution for converting 2.40838 to a fraction:

Step 1:

First, we write 2.40838 as  
2.40838/1

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!
2.40838/1
  =  
2.40838 x 100000/1 x 100000
  =  
240838/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 240838 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 240838 are: 1  2  13  26  59  118  157  314  767  1534  2041  4082  9263  18526  120419  240838 
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 240838 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.
240838/100000
  =  
240838 ÷ 2/100000 ÷ 2
  =  
120419/50000


Good work! We have just walked through the steps on how to represent 2.40838 as a fraction.

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