What is 1.3312 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 1.3312 into a fraction.

Answer: 1.3312 as a fraction equals 13312/10000 or 832/625

Here is the solution for converting 1.3312 to a fraction:

Step 1:

First, we write 1.3312 as  
1.3312/1

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!
1.3312/1
  =  
1.3312 x 10000/1 x 10000
  =  
13312/10000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 13312 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 13312 are: 1  2  4  8  13  16  26  32  52  64  104  128  208  256  416  512  832  1024  1664  3328  6656  13312 
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 13312 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.
13312/10000
  =  
13312 ÷ 16/10000 ÷ 16
  =  
832/625


Good work! We have just walked through the steps on how to represent 1.3312 as a fraction.

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