What is 1.16688 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 1.16688 into a fraction.

Answer: 1.16688 as a fraction equals 116688/100000 or 7293/6250

Here is the solution for converting 1.16688 to a fraction:

Step 1:

First, we write 1.16688 as  
1.16688/1

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!
1.16688/1
  =  
1.16688 x 100000/1 x 100000
  =  
116688/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 116688 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 116688 are: 1  2  3  4  6  8  11  12  13  16  17  22  24  26  33  34  39  44  48  51  52  66  68  78  88  102  104  132  136  143  156  176  187  204  208  221  264  272  286  312  374  408  429  442  528  561  572  624  663  748  816  858  884  1122  1144  1326  1496  1716  1768  2244  2288  2431  2652  2992  3432  3536  4488  4862  5304  6864  7293  8976  9724  10608  14586  19448  29172  38896  58344  116688 
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 116688 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.
116688/100000
  =  
116688 ÷ 16/100000 ÷ 16
  =  
7293/6250


Good work! We have just walked through the steps on how to represent 1.16688 as a fraction.

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