What is 2.43288 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 2.43288 into a fraction.

Answer: 2.43288 as a fraction equals 243288/100000 or 30411/12500

Here is the solution for converting 2.43288 to a fraction:

Step 1:

First, we write 2.43288 as  
2.43288/1

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!
2.43288/1
  =  
2.43288 x 100000/1 x 100000
  =  
243288/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 243288 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 243288 are: 1  2  3  4  6  8  9  12  18  24  31  36  62  72  93  109  124  186  218  248  279  327  372  436  558  654  744  872  981  1116  1308  1962  2232  2616  3379  3924  6758  7848  10137  13516  20274  27032  30411  40548  60822  81096  121644  243288 
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 243288 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.
243288/100000
  =  
243288 ÷ 8/100000 ÷ 8
  =  
30411/12500


Good work! We have just walked through the steps on how to represent 2.43288 as a fraction.

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