What is 3.06204 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 3.06204 into a fraction.

Answer: 3.06204 as a fraction equals 306204/100000 or 76551/25000

Here is the solution for converting 3.06204 to a fraction:

Step 1:

First, we write 3.06204 as  
3.06204/1

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!
3.06204/1
  =  
3.06204 x 100000/1 x 100000
  =  
306204/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 306204 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 306204 are: 1  2  3  4  6  12  17  19  34  38  51  57  68  76  79  102  114  158  204  228  237  316  323  474  646  948  969  1292  1343  1501  1938  2686  3002  3876  4029  4503  5372  6004  8058  9006  16116  18012  25517  51034  76551  102068  153102  306204 
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 306204 and 100000 that gives us a GCF value of: 4

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.
306204/100000
  =  
306204 ÷ 4/100000 ÷ 4
  =  
76551/25000


Good work! We have just walked through the steps on how to represent 3.06204 as a fraction.

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