What is 3.01444 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 3.01444 into a fraction.

Answer: 3.01444 as a fraction equals 301444/100000 or 75361/25000

Here is the solution for converting 3.01444 to a fraction:

Step 1:

First, we write 3.01444 as  
3.01444/1

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!
3.01444/1
  =  
3.01444 x 100000/1 x 100000
  =  
301444/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 301444 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 301444 are: 1  2  4  11  13  17  22  26  31  34  44  52  62  68  124  143  187  221  286  341  374  403  442  527  572  682  748  806  884  1054  1364  1612  2108  2431  4433  4862  5797  6851  8866  9724  11594  13702  17732  23188  27404  75361  150722  301444 
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 301444 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.
301444/100000
  =  
301444 ÷ 4/100000 ÷ 4
  =  
75361/25000


Good work! We have just walked through the steps on how to represent 3.01444 as a fraction.

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