What is 0.49104 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 0.49104 into a fraction.

Answer: 0.49104 as a fraction equals 49104/100000 or 3069/6250

Here is the solution for converting 0.49104 to a fraction:

Step 1:

First, we write 0.49104 as  
0.49104/1

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!
0.49104/1
  =  
0.49104 x 100000/1 x 100000
  =  
49104/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 49104 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 49104 are: 1  2  3  4  6  8  9  11  12  16  18  22  24  31  33  36  44  48  62  66  72  88  93  99  124  132  144  176  186  198  248  264  279  341  372  396  496  528  558  682  744  792  1023  1116  1364  1488  1584  2046  2232  2728  3069  4092  4464  5456  6138  8184  12276  16368  24552  49104 
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 49104 and 100000 that gives us a GCF value of: 16

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.
49104/100000
  =  
49104 ÷ 16/100000 ÷ 16
  =  
3069/6250


Good work! We have just walked through the steps on how to represent 0.49104 as a fraction.

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