What is 5.23404 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 5.23404 into a fraction.

Answer: 5.23404 as a fraction equals 523404/100000 or 130851/25000

Here is the solution for converting 5.23404 to a fraction:

Step 1:

First, we write 5.23404 as  
5.23404/1

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!
5.23404/1
  =  
5.23404 x 100000/1 x 100000
  =  
523404/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 523404 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 523404 are: 1  2  3  4  6  7  9  12  14  18  21  28  31  36  42  62  63  67  84  93  124  126  134  186  201  217  252  268  279  372  402  434  469  558  603  651  804  868  938  1116  1206  1302  1407  1876  1953  2077  2412  2604  2814  3906  4154  4221  5628  6231  7812  8308  8442  12462  14539  16884  18693  24924  29078  37386  43617  58156  74772  87234  130851  174468  261702  523404 
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 523404 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.
523404/100000
  =  
523404 ÷ 4/100000 ÷ 4
  =  
130851/25000


Good work! We have just walked through the steps on how to represent 5.23404 as a fraction.

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