What is 3.08176 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 3.08176 into a fraction.

Answer: 3.08176 as a fraction equals 308176/100000 or 19261/6250

Here is the solution for converting 3.08176 to a fraction:

Step 1:

First, we write 3.08176 as  
3.08176/1

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!
3.08176/1
  =  
3.08176 x 100000/1 x 100000
  =  
308176/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 308176 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 308176 are: 1  2  4  8  11  16  17  22  34  44  68  88  103  136  176  187  206  272  374  412  748  824  1133  1496  1648  1751  2266  2992  3502  4532  7004  9064  14008  18128  19261  28016  38522  77044  154088  308176 
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 308176 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.
308176/100000
  =  
308176 ÷ 16/100000 ÷ 16
  =  
19261/6250


Good work! We have just walked through the steps on how to represent 3.08176 as a fraction.

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