What is 1.64892 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 1.64892 into a fraction.

Answer: 1.64892 as a fraction equals 164892/100000 or 41223/25000

Here is the solution for converting 1.64892 to a fraction:

Step 1:

First, we write 1.64892 as  
1.64892/1

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!
1.64892/1
  =  
1.64892 x 100000/1 x 100000
  =  
164892/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 164892 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 164892 are: 1  2  3  4  6  7  12  13  14  21  26  28  39  42  52  78  84  91  151  156  182  273  302  364  453  546  604  906  1057  1092  1812  1963  2114  3171  3926  4228  5889  6342  7852  11778  12684  13741  23556  27482  41223  54964  82446  164892 
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 164892 and 100000 that gives us a GCF value of: 4

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.
164892/100000
  =  
164892 ÷ 4/100000 ÷ 4
  =  
41223/25000


Good work! We have just walked through the steps on how to represent 1.64892 as a fraction.

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