What is 0.68208 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 0.68208 into a fraction.

Answer: 0.68208 as a fraction equals 68208/100000 or 4263/6250

Here is the solution for converting 0.68208 to a fraction:

Step 1:

First, we write 0.68208 as  
0.68208/1

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!
0.68208/1
  =  
0.68208 x 100000/1 x 100000
  =  
68208/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 68208 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 68208 are: 1  2  3  4  6  7  8  12  14  16  21  24  28  29  42  48  49  56  58  84  87  98  112  116  147  168  174  196  203  232  294  336  348  392  406  464  588  609  696  784  812  1176  1218  1392  1421  1624  2352  2436  2842  3248  4263  4872  5684  8526  9744  11368  17052  22736  34104  68208 
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 68208 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.
68208/100000
  =  
68208 ÷ 16/100000 ÷ 16
  =  
4263/6250


Good work! We have just walked through the steps on how to represent 0.68208 as a fraction.

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