What is 5.24706 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 5.24706 into a fraction.

Answer: 5.24706 as a fraction equals 524706/100000 or 262353/50000

Here is the solution for converting 5.24706 to a fraction:

Step 1:

First, we write 5.24706 as  
5.24706/1

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!
5.24706/1
  =  
5.24706 x 100000/1 x 100000
  =  
524706/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 524706 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 524706 are: 1  2  3  6  7  13  14  21  26  31  39  42  62  78  91  93  182  186  217  273  403  434  546  651  806  961  1209  1302  1922  2418  2821  2883  5642  5766  6727  8463  12493  13454  16926  20181  24986  37479  40362  74958  87451  174902  262353  524706 
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 524706 and 100000 that gives us a GCF value of: 2

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.
524706/100000
  =  
524706 ÷ 2/100000 ÷ 2
  =  
262353/50000


Good work! We have just walked through the steps on how to represent 5.24706 as a fraction.

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