What is 5.26344 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 5.26344 into a fraction.

Answer: 5.26344 as a fraction equals 526344/100000 or 65793/12500

Here is the solution for converting 5.26344 to a fraction:

Step 1:

First, we write 5.26344 as  
5.26344/1

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!
5.26344/1
  =  
5.26344 x 100000/1 x 100000
  =  
526344/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 526344 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 526344 are: 1  2  3  4  6  7  8  12  13  14  21  24  26  28  39  42  52  56  78  84  91  104  156  168  182  241  273  312  364  482  546  723  728  964  1092  1446  1687  1928  2184  2892  3133  3374  5061  5784  6266  6748  9399  10122  12532  13496  18798  20244  21931  25064  37596  40488  43862  65793  75192  87724  131586  175448  263172  526344 
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 526344 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.
526344/100000
  =  
526344 ÷ 8/100000 ÷ 8
  =  
65793/12500


Good work! We have just walked through the steps on how to represent 5.26344 as a fraction.

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