What is 3.15504 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 3.15504 into a fraction.

Answer: 3.15504 as a fraction equals 315504/100000 or 19719/6250

Here is the solution for converting 3.15504 to a fraction:

Step 1:

First, we write 3.15504 as  
3.15504/1

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!
3.15504/1
  =  
3.15504 x 100000/1 x 100000
  =  
315504/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 315504 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 315504 are: 1  2  3  4  6  7  8  9  12  14  16  18  21  24  28  36  42  48  56  63  72  84  112  126  144  168  252  313  336  504  626  939  1008  1252  1878  2191  2504  2817  3756  4382  5008  5634  6573  7512  8764  11268  13146  15024  17528  19719  22536  26292  35056  39438  45072  52584  78876  105168  157752  315504 
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 315504 and 100000 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.
315504/100000
  =  
315504 ÷ 16/100000 ÷ 16
  =  
19719/6250


Good work! We have just walked through the steps on how to represent 3.15504 as a fraction.

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