What is 2.27304 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 2.27304 into a fraction.

Answer: 2.27304 as a fraction equals 227304/100000 or 28413/12500

Here is the solution for converting 2.27304 to a fraction:

Step 1:

First, we write 2.27304 as  
2.27304/1

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!
2.27304/1
  =  
2.27304 x 100000/1 x 100000
  =  
227304/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 227304 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 227304 are: 1  2  3  4  6  7  8  9  11  12  14  18  21  22  24  28  33  36  41  42  44  56  63  66  72  77  82  84  88  99  123  126  132  154  164  168  198  231  246  252  264  287  308  328  369  396  451  462  492  504  574  616  693  738  792  861  902  924  984  1148  1353  1386  1476  1722  1804  1848  2296  2583  2706  2772  2952  3157  3444  3608  4059  5166  5412  5544  6314  6888  8118  9471  10332  10824  12628  16236  18942  20664  25256  28413  32472  37884  56826  75768  113652  227304 
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 227304 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.
227304/100000
  =  
227304 ÷ 8/100000 ÷ 8
  =  
28413/12500


Good work! We have just walked through the steps on how to represent 2.27304 as a fraction.

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