What is 1.65816 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 1.65816 into a fraction.

Answer: 1.65816 as a fraction equals 165816/100000 or 20727/12500

Here is the solution for converting 1.65816 to a fraction:

Step 1:

First, we write 1.65816 as  
1.65816/1

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!
1.65816/1
  =  
1.65816 x 100000/1 x 100000
  =  
165816/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 165816 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 165816 are: 1  2  3  4  6  7  8  9  12  14  18  21  24  28  36  42  47  49  56  63  72  84  94  98  126  141  147  168  188  196  252  282  294  329  376  392  423  441  504  564  588  658  846  882  987  1128  1176  1316  1692  1764  1974  2303  2632  2961  3384  3528  3948  4606  5922  6909  7896  9212  11844  13818  18424  20727  23688  27636  41454  55272  82908  165816 
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 165816 and 100000 that gives us a GCF value of: 8

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.
165816/100000
  =  
165816 ÷ 8/100000 ÷ 8
  =  
20727/12500


Good work! We have just walked through the steps on how to represent 1.65816 as a fraction.

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