What is 0.84132 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 0.84132 into a fraction.

Answer: 0.84132 as a fraction equals 84132/100000 or 21033/25000

Here is the solution for converting 0.84132 to a fraction:

Step 1:

First, we write 0.84132 as  
0.84132/1

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!
0.84132/1
  =  
0.84132 x 100000/1 x 100000
  =  
84132/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 84132 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 84132 are: 1  2  3  4  6  9  12  18  19  27  36  38  41  54  57  76  82  108  114  123  164  171  228  246  342  369  492  513  684  738  779  1026  1107  1476  1558  2052  2214  2337  3116  4428  4674  7011  9348  14022  21033  28044  42066  84132 
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 84132 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.
84132/100000
  =  
84132 ÷ 4/100000 ÷ 4
  =  
21033/25000


Good work! We have just walked through the steps on how to represent 0.84132 as a fraction.

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