What is 3.51208 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 3.51208 into a fraction.

Answer: 3.51208 as a fraction equals 351208/100000 or 43901/12500

Here is the solution for converting 3.51208 to a fraction:

Step 1:

First, we write 3.51208 as  
3.51208/1

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!
3.51208/1
  =  
3.51208 x 100000/1 x 100000
  =  
351208/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 351208 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 351208 are: 1  2  4  8  11  13  22  26  44  52  88  104  143  286  307  572  614  1144  1228  2456  3377  3991  6754  7982  13508  15964  27016  31928  43901  87802  175604  351208 
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 351208 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.
351208/100000
  =  
351208 ÷ 8/100000 ÷ 8
  =  
43901/12500


Good work! We have just walked through the steps on how to represent 3.51208 as a fraction.

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