What is 3.68016 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 3.68016 into a fraction.

Answer: 3.68016 as a fraction equals 368016/100000 or 23001/6250

Here is the solution for converting 3.68016 to a fraction:

Step 1:

First, we write 3.68016 as  
3.68016/1

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!
3.68016/1
  =  
3.68016 x 100000/1 x 100000
  =  
368016/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 368016 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 368016 are: 1  2  3  4  6  8  11  12  16  17  22  24  33  34  41  44  48  51  66  68  82  88  102  123  132  136  164  176  187  204  246  264  272  328  374  408  451  492  528  561  656  697  748  816  902  984  1122  1353  1394  1496  1804  1968  2091  2244  2706  2788  2992  3608  4182  4488  5412  5576  7216  7667  8364  8976  10824  11152  15334  16728  21648  23001  30668  33456  46002  61336  92004  122672  184008  368016 
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 368016 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.
368016/100000
  =  
368016 ÷ 16/100000 ÷ 16
  =  
23001/6250


Good work! We have just walked through the steps on how to represent 3.68016 as a fraction.

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