What is 1.31712 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 1.31712 into a fraction.

Answer: 1.31712 as a fraction equals 131712/100000 or 4116/3125

Here is the solution for converting 1.31712 to a fraction:

Step 1:

First, we write 1.31712 as  
1.31712/1

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!
1.31712/1
  =  
1.31712 x 100000/1 x 100000
  =  
131712/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 131712 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 131712 are: 1  2  3  4  6  7  8  12  14  16  21  24  28  32  42  48  49  56  64  84  96  98  112  128  147  168  192  196  224  294  336  343  384  392  448  588  672  686  784  896  1029  1176  1344  1372  1568  2058  2352  2688  2744  3136  4116  4704  5488  6272  8232  9408  10976  16464  18816  21952  32928  43904  65856  131712 
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 131712 and 100000 that gives us a GCF value of: 32

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.
131712/100000
  =  
131712 ÷ 32/100000 ÷ 32
  =  
4116/3125


Good work! We have just walked through the steps on how to represent 1.31712 as a fraction.

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