What is 3.23232 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 3.23232 into a fraction.

Answer: 3.23232 as a fraction equals 323232/100000 or 10101/3125

Here is the solution for converting 3.23232 to a fraction:

Step 1:

First, we write 3.23232 as  
3.23232/1

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!
3.23232/1
  =  
3.23232 x 100000/1 x 100000
  =  
323232/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 323232 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 323232 are: 1  2  3  4  6  7  8  12  13  14  16  21  24  26  28  32  37  39  42  48  52  56  74  78  84  91  96  104  111  112  148  156  168  182  208  222  224  259  273  296  312  336  364  416  444  481  518  546  592  624  672  728  777  888  962  1036  1092  1184  1248  1443  1456  1554  1776  1924  2072  2184  2886  2912  3108  3367  3552  3848  4144  4368  5772  6216  6734  7696  8288  8736  10101  11544  12432  13468  15392  20202  23088  24864  26936  40404  46176  53872  80808  107744  161616  323232 
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 323232 and 100000 that gives us a GCF value of: 32

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.
323232/100000
  =  
323232 ÷ 32/100000 ÷ 32
  =  
10101/3125


Good work! We have just walked through the steps on how to represent 3.23232 as a fraction.

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