What is 3.27168 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 3.27168 into a fraction.

Answer: 3.27168 as a fraction equals 327168/100000 or 10224/3125

Here is the solution for converting 3.27168 to a fraction:

Step 1:

First, we write 3.27168 as  
3.27168/1

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!
3.27168/1
  =  
3.27168 x 100000/1 x 100000
  =  
327168/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 327168 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 327168 are: 1  2  3  4  6  8  9  12  16  18  24  32  36  48  64  71  72  96  128  142  144  192  213  256  284  288  384  426  512  568  576  639  768  852  1136  1152  1278  1536  1704  2272  2304  2556  3408  4544  4608  5112  6816  9088  10224  13632  18176  20448  27264  36352  40896  54528  81792  109056  163584  327168 
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 327168 and 100000 that gives us a GCF value of: 32

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.
327168/100000
  =  
327168 ÷ 32/100000 ÷ 32
  =  
10224/3125


Good work! We have just walked through the steps on how to represent 3.27168 as a fraction.

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