What is 5.51304 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 5.51304 into a fraction.

Answer: 5.51304 as a fraction equals 551304/100000 or 68913/12500

Here is the solution for converting 5.51304 to a fraction:

Step 1:

First, we write 5.51304 as  
5.51304/1

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!
5.51304/1
  =  
5.51304 x 100000/1 x 100000
  =  
551304/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 551304 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 551304 are: 1  2  3  4  6  8  9  12  13  18  19  24  26  31  36  38  39  52  57  62  72  76  78  93  104  114  117  124  152  156  171  186  228  234  247  248  279  312  342  372  403  456  468  494  558  589  684  741  744  806  936  988  1116  1178  1209  1368  1482  1612  1767  1976  2223  2232  2356  2418  2964  3224  3534  3627  4446  4712  4836  5301  5928  7068  7254  7657  8892  9672  10602  14136  14508  15314  17784  21204  22971  29016  30628  42408  45942  61256  68913  91884  137826  183768  275652  551304 
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 551304 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.
551304/100000
  =  
551304 ÷ 8/100000 ÷ 8
  =  
68913/12500


Good work! We have just walked through the steps on how to represent 5.51304 as a fraction.

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