What is 9.41346 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 9.41346 into a fraction.

Answer: 9.41346 as a fraction equals 941346/100000 or 470673/50000

Here is the solution for converting 9.41346 to a fraction:

Step 1:

First, we write 9.41346 as  
9.41346/1

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!
9.41346/1
  =  
9.41346 x 100000/1 x 100000
  =  
941346/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 941346 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 941346 are: 1  2  3  6  7  9  14  18  21  31  42  62  63  93  126  186  217  241  279  434  482  558  651  723  1302  1446  1687  1953  2169  3374  3906  4338  5061  7471  10122  14942  15183  22413  30366  44826  52297  67239  104594  134478  156891  313782  470673  941346 
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 941346 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.
941346/100000
  =  
941346 ÷ 2/100000 ÷ 2
  =  
470673/50000


Good work! We have just walked through the steps on how to represent 9.41346 as a fraction.

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