What is 1.33692 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 1.33692 into a fraction.

Answer: 1.33692 as a fraction equals 133692/100000 or 33423/25000

Here is the solution for converting 1.33692 to a fraction:

Step 1:

First, we write 1.33692 as  
1.33692/1

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!
1.33692/1
  =  
1.33692 x 100000/1 x 100000
  =  
133692/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 133692 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 133692 are: 1  2  3  4  6  12  13  26  39  52  78  156  857  1714  2571  3428  5142  10284  11141  22282  33423  44564  66846  133692 
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 133692 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.
133692/100000
  =  
133692 ÷ 4/100000 ÷ 4
  =  
33423/25000


Good work! We have just walked through the steps on how to represent 1.33692 as a fraction.

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