What is 2.42088 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 2.42088 into a fraction.

Answer: 2.42088 as a fraction equals 242088/100000 or 30261/12500

Here is the solution for converting 2.42088 to a fraction:

Step 1:

First, we write 2.42088 as  
2.42088/1

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!
2.42088/1
  =  
2.42088 x 100000/1 x 100000
  =  
242088/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 242088 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 242088 are: 1  2  3  4  6  7  8  11  12  14  21  22  24  28  33  42  44  56  66  77  84  88  131  132  154  168  231  262  264  308  393  462  524  616  786  917  924  1048  1441  1572  1834  1848  2751  2882  3144  3668  4323  5502  5764  7336  8646  10087  11004  11528  17292  20174  22008  30261  34584  40348  60522  80696  121044  242088 
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 242088 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.
242088/100000
  =  
242088 ÷ 8/100000 ÷ 8
  =  
30261/12500


Good work! We have just walked through the steps on how to represent 2.42088 as a fraction.

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