What is 1.68168 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 1.68168 into a fraction.

Answer: 1.68168 as a fraction equals 168168/100000 or 21021/12500

Here is the solution for converting 1.68168 to a fraction:

Step 1:

First, we write 1.68168 as  
1.68168/1

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!
1.68168/1
  =  
1.68168 x 100000/1 x 100000
  =  
168168/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 168168 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 168168 are: 1  2  3  4  6  7  8  11  12  13  14  21  22  24  26  28  33  39  42  44  49  52  56  66  77  78  84  88  91  98  104  132  143  147  154  156  168  182  196  231  264  273  286  294  308  312  364  392  429  462  539  546  572  588  616  637  728  858  924  1001  1078  1092  1144  1176  1274  1617  1716  1848  1911  2002  2156  2184  2548  3003  3234  3432  3822  4004  4312  5096  6006  6468  7007  7644  8008  12012  12936  14014  15288  21021  24024  28028  42042  56056  84084  168168 
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 168168 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.
168168/100000
  =  
168168 ÷ 8/100000 ÷ 8
  =  
21021/12500


Good work! We have just walked through the steps on how to represent 1.68168 as a fraction.

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