What is 1.31328 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 1.31328 into a fraction.

Answer: 1.31328 as a fraction equals 131328/100000 or 4104/3125

Here is the solution for converting 1.31328 to a fraction:

Step 1:

First, we write 1.31328 as  
1.31328/1

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!
1.31328/1
  =  
1.31328 x 100000/1 x 100000
  =  
131328/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 131328 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 131328 are: 1  2  3  4  6  8  9  12  16  18  19  24  27  32  36  38  48  54  57  64  72  76  96  108  114  128  144  152  171  192  216  228  256  288  304  342  384  432  456  513  576  608  684  768  864  912  1026  1152  1216  1368  1728  1824  2052  2304  2432  2736  3456  3648  4104  4864  5472  6912  7296  8208  10944  14592  16416  21888  32832  43776  65664  131328 
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 131328 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.
131328/100000
  =  
131328 ÷ 32/100000 ÷ 32
  =  
4104/3125


Good work! We have just walked through the steps on how to represent 1.31328 as a fraction.

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