What is 2.06625 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 2.06625 into a fraction.

Answer: 2.06625 as a fraction equals 206625/100000 or 1653/800

Here is the solution for converting 2.06625 to a fraction:

Step 1:

First, we write 2.06625 as  
2.06625/1

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!
2.06625/1
  =  
2.06625 x 100000/1 x 100000
  =  
206625/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 206625 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 206625 are: 1  3  5  15  19  25  29  57  75  87  95  125  145  285  375  435  475  551  725  1425  1653  2175  2375  2755  3625  7125  8265  10875  13775  41325  68875  206625 
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 206625 and 100000 that gives us a GCF value of: 125

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.
206625/100000
  =  
206625 ÷ 125/100000 ÷ 125
  =  
1653/800


Good work! We have just walked through the steps on how to represent 2.06625 as a fraction.

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