What is 2.02488 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 2.02488 into a fraction.

Answer: 2.02488 as a fraction equals 202488/100000 or 25311/12500

Here is the solution for converting 2.02488 to a fraction:

Step 1:

First, we write 2.02488 as  
2.02488/1

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!
2.02488/1
  =  
2.02488 x 100000/1 x 100000
  =  
202488/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 202488 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 202488 are: 1  2  3  4  6  8  11  12  13  22  24  26  33  39  44  52  59  66  78  88  104  118  132  143  156  177  236  264  286  312  354  429  472  572  649  708  767  858  1144  1298  1416  1534  1716  1947  2301  2596  3068  3432  3894  4602  5192  6136  7788  8437  9204  15576  16874  18408  25311  33748  50622  67496  101244  202488 
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 202488 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.
202488/100000
  =  
202488 ÷ 8/100000 ÷ 8
  =  
25311/12500


Good work! We have just walked through the steps on how to represent 2.02488 as a fraction.

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