What is 2.68212 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 2.68212 into a fraction.

Answer: 2.68212 as a fraction equals 268212/100000 or 67053/25000

Here is the solution for converting 2.68212 to a fraction:

Step 1:

First, we write 2.68212 as  
2.68212/1

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!
2.68212/1
  =  
2.68212 x 100000/1 x 100000
  =  
268212/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 268212 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 268212 are: 1  2  3  4  6  7  12  14  21  28  31  42  62  84  93  103  124  186  206  217  309  372  412  434  618  651  721  868  1236  1302  1442  2163  2604  2884  3193  4326  6386  8652  9579  12772  19158  22351  38316  44702  67053  89404  134106  268212 
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 268212 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.
268212/100000
  =  
268212 ÷ 4/100000 ÷ 4
  =  
67053/25000


Good work! We have just walked through the steps on how to represent 2.68212 as a fraction.

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