What is 0.81648 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 0.81648 into a fraction.

Answer: 0.81648 as a fraction equals 81648/100000 or 5103/6250

Here is the solution for converting 0.81648 to a fraction:

Step 1:

First, we write 0.81648 as  
0.81648/1

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!
0.81648/1
  =  
0.81648 x 100000/1 x 100000
  =  
81648/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 81648 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 81648 are: 1  2  3  4  6  7  8  9  12  14  16  18  21  24  27  28  36  42  48  54  56  63  72  81  84  108  112  126  144  162  168  189  216  243  252  324  336  378  432  486  504  567  648  729  756  972  1008  1134  1296  1458  1512  1701  1944  2268  2916  3024  3402  3888  4536  5103  5832  6804  9072  10206  11664  13608  20412  27216  40824  81648 
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 81648 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.
81648/100000
  =  
81648 ÷ 16/100000 ÷ 16
  =  
5103/6250


Good work! We have just walked through the steps on how to represent 0.81648 as a fraction.

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