What is 1.31472 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 1.31472 into a fraction.

Answer: 1.31472 as a fraction equals 131472/100000 or 8217/6250

Here is the solution for converting 1.31472 to a fraction:

Step 1:

First, we write 1.31472 as  
1.31472/1

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!
1.31472/1
  =  
1.31472 x 100000/1 x 100000
  =  
131472/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 131472 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 131472 are: 1  2  3  4  6  8  9  11  12  16  18  22  24  33  36  44  48  66  72  83  88  99  132  144  166  176  198  249  264  332  396  498  528  664  747  792  913  996  1328  1494  1584  1826  1992  2739  2988  3652  3984  5478  5976  7304  8217  10956  11952  14608  16434  21912  32868  43824  65736  131472 
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 131472 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.
131472/100000
  =  
131472 ÷ 16/100000 ÷ 16
  =  
8217/6250


Good work! We have just walked through the steps on how to represent 1.31472 as a fraction.

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