What is 2.98566 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 2.98566 into a fraction.

Answer: 2.98566 as a fraction equals 298566/100000 or 149283/50000

Here is the solution for converting 2.98566 to a fraction:

Step 1:

First, we write 2.98566 as  
2.98566/1

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!
2.98566/1
  =  
2.98566 x 100000/1 x 100000
  =  
298566/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 298566 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 298566 are: 1  2  3  6  9  18  19  27  38  54  57  81  97  114  162  171  194  291  342  513  582  873  1026  1539  1746  1843  2619  3078  3686  5238  5529  7857  11058  15714  16587  33174  49761  99522  149283  298566 
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 298566 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.
298566/100000
  =  
298566 ÷ 2/100000 ÷ 2
  =  
149283/50000


Good work! We have just walked through the steps on how to represent 2.98566 as a fraction.

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