What is 1.38516 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 1.38516 into a fraction.

Answer: 1.38516 as a fraction equals 138516/100000 or 34629/25000

Here is the solution for converting 1.38516 to a fraction:

Step 1:

First, we write 1.38516 as  
1.38516/1

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!
1.38516/1
  =  
1.38516 x 100000/1 x 100000
  =  
138516/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 138516 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 138516 are: 1  2  3  4  6  7  12  14  17  21  28  34  42  51  68  84  97  102  119  194  204  238  291  357  388  476  582  679  714  1164  1358  1428  1649  2037  2716  3298  4074  4947  6596  8148  9894  11543  19788  23086  34629  46172  69258  138516 
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 138516 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.
138516/100000
  =  
138516 ÷ 4/100000 ÷ 4
  =  
34629/25000


Good work! We have just walked through the steps on how to represent 1.38516 as a fraction.

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