What is 1.3344 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 1.3344 into a fraction.

Answer: 1.3344 as a fraction equals 13344/10000 or 834/625

Here is the solution for converting 1.3344 to a fraction:

Step 1:

First, we write 1.3344 as  
1.3344/1

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!
1.3344/1
  =  
1.3344 x 10000/1 x 10000
  =  
13344/10000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 13344 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 13344 are: 1  2  3  4  6  8  12  16  24  32  48  96  139  278  417  556  834  1112  1668  2224  3336  4448  6672  13344 
The factors of 10000 are: 1  2  4  5  8  10  16  20  25  40  50  80  100  125  200  250  400  500  625  1000  1250  2000  2500  5000  10000 
So for 13344 and 10000 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.
13344/10000
  =  
13344 ÷ 16/10000 ÷ 16
  =  
834/625


Good work! We have just walked through the steps on how to represent 1.3344 as a fraction.

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