What is 2.42298 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 2.42298 into a fraction.

Answer: 2.42298 as a fraction equals 242298/100000 or 121149/50000

Here is the solution for converting 2.42298 to a fraction:

Step 1:

First, we write 2.42298 as  
2.42298/1

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!
2.42298/1
  =  
2.42298 x 100000/1 x 100000
  =  
242298/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 242298 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 242298 are: 1  2  3  6  7  9  14  18  21  27  42  54  63  126  189  378  641  1282  1923  3846  4487  5769  8974  11538  13461  17307  26922  34614  40383  80766  121149  242298 
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 242298 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.
242298/100000
  =  
242298 ÷ 2/100000 ÷ 2
  =  
121149/50000


Good work! We have just walked through the steps on how to represent 2.42298 as a fraction.

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