What is 2.17308 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 2.17308 into a fraction.

Answer: 2.17308 as a fraction equals 217308/100000 or 54327/25000

Here is the solution for converting 2.17308 to a fraction:

Step 1:

First, we write 2.17308 as  
2.17308/1

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!
2.17308/1
  =  
2.17308 x 100000/1 x 100000
  =  
217308/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 217308 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 217308 are: 1  2  3  4  6  7  12  13  14  21  26  28  39  42  52  78  84  91  156  182  199  273  364  398  546  597  796  1092  1194  1393  2388  2587  2786  4179  5174  5572  7761  8358  10348  15522  16716  18109  31044  36218  54327  72436  108654  217308 
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 217308 and 100000 that gives us a GCF value of: 4

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.
217308/100000
  =  
217308 ÷ 4/100000 ÷ 4
  =  
54327/25000


Good work! We have just walked through the steps on how to represent 2.17308 as a fraction.

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