What is 2.34432 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 2.34432 into a fraction.

Answer: 2.34432 as a fraction equals 234432/100000 or 7326/3125

Here is the solution for converting 2.34432 to a fraction:

Step 1:

First, we write 2.34432 as  
2.34432/1

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!
2.34432/1
  =  
2.34432 x 100000/1 x 100000
  =  
234432/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 234432 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 234432 are: 1  2  3  4  6  8  9  11  12  16  18  22  24  32  33  36  37  44  48  64  66  72  74  88  96  99  111  132  144  148  176  192  198  222  264  288  296  333  352  396  407  444  528  576  592  666  704  792  814  888  1056  1184  1221  1332  1584  1628  1776  2112  2368  2442  2664  3168  3256  3552  3663  4884  5328  6336  6512  7104  7326  9768  10656  13024  14652  19536  21312  26048  29304  39072  58608  78144  117216  234432 
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 234432 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.
234432/100000
  =  
234432 ÷ 32/100000 ÷ 32
  =  
7326/3125


Good work! We have just walked through the steps on how to represent 2.34432 as a fraction.

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