What is 3.14426 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 3.14426 into a fraction.

Answer: 3.14426 as a fraction equals 314426/100000 or 157213/50000

Here is the solution for converting 3.14426 to a fraction:

Step 1:

First, we write 3.14426 as  
3.14426/1

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!
3.14426/1
  =  
3.14426 x 100000/1 x 100000
  =  
314426/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 314426 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 314426 are: 1  2  7  14  37  74  259  518  607  1214  4249  8498  22459  44918  157213  314426 
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 314426 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.
314426/100000
  =  
314426 ÷ 2/100000 ÷ 2
  =  
157213/50000


Good work! We have just walked through the steps on how to represent 3.14426 as a fraction.

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