What is 1.43685 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 1.43685 into a fraction.

Answer: 1.43685 as a fraction equals 143685/100000 or 28737/20000

Here is the solution for converting 1.43685 to a fraction:

Step 1:

First, we write 1.43685 as  
1.43685/1

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!
1.43685/1
  =  
1.43685 x 100000/1 x 100000
  =  
143685/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 143685 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 143685 are: 1  3  5  9  15  31  45  93  103  155  279  309  465  515  927  1395  1545  3193  4635  9579  15965  28737  47895  143685 
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 143685 and 100000 that gives us a GCF value of: 5

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.
143685/100000
  =  
143685 ÷ 5/100000 ÷ 5
  =  
28737/20000


Good work! We have just walked through the steps on how to represent 1.43685 as a fraction.

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