What is 1.44606 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 1.44606 into a fraction.

Answer: 1.44606 as a fraction equals 144606/100000 or 72303/50000

Here is the solution for converting 1.44606 to a fraction:

Step 1:

First, we write 1.44606 as  
1.44606/1

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!
1.44606/1
  =  
1.44606 x 100000/1 x 100000
  =  
144606/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 144606 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 144606 are: 1  2  3  6  7  11  14  21  22  33  42  66  77  154  231  313  462  626  939  1878  2191  3443  4382  6573  6886  10329  13146  20658  24101  48202  72303  144606 
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 144606 and 100000 that gives us a GCF value of: 2

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.
144606/100000
  =  
144606 ÷ 2/100000 ÷ 2
  =  
72303/50000


Good work! We have just walked through the steps on how to represent 1.44606 as a fraction.

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