What is 0.83472 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 0.83472 into a fraction.

Answer: 0.83472 as a fraction equals 83472/100000 or 5217/6250

Here is the solution for converting 0.83472 to a fraction:

Step 1:

First, we write 0.83472 as  
0.83472/1

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!
0.83472/1
  =  
0.83472 x 100000/1 x 100000
  =  
83472/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 83472 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 83472 are: 1  2  3  4  6  8  12  16  24  37  47  48  74  94  111  141  148  188  222  282  296  376  444  564  592  752  888  1128  1739  1776  2256  3478  5217  6956  10434  13912  20868  27824  41736  83472 
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 83472 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.
83472/100000
  =  
83472 ÷ 16/100000 ÷ 16
  =  
5217/6250


Good work! We have just walked through the steps on how to represent 0.83472 as a fraction.

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