What is 4.32432 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 4.32432 into a fraction.

Answer: 4.32432 as a fraction equals 432432/100000 or 27027/6250

Here is the solution for converting 4.32432 to a fraction:

Step 1:

First, we write 4.32432 as  
4.32432/1

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!
4.32432/1
  =  
4.32432 x 100000/1 x 100000
  =  
432432/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 432432 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 432432 are: 1  2  3  4  6  7  8  9  11  12  13  14  16  18  21  22  24  26  27  28  33  36  39  42  44  48  52  54  56  63  66  72  77  78  84  88  91  99  104  108  112  117  126  132  143  144  154  156  168  176  182  189  198  208  216  231  234  252  264  273  286  297  308  312  336  351  364  378  396  429  432  462  468  504  528  546  572  594  616  624  693  702  728  756  792  819  858  924  936  1001  1008  1092  1144  1188  1232  1287  1386  1404  1456  1512  1584  1638  1716  1848  1872  2002  2079  2184  2288  2376  2457  2574  2772  2808  3003  3024  3276  3432  3696  3861  4004  4158  4368  4752  4914  5148  5544  5616  6006  6552  6864  7722  8008  8316  9009  9828  10296  11088  12012  13104  15444  16016  16632  18018  19656  20592  24024  27027  30888  33264  36036  39312  48048  54054  61776  72072  108108  144144  216216  432432 
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 432432 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.
432432/100000
  =  
432432 ÷ 16/100000 ÷ 16
  =  
27027/6250


Good work! We have just walked through the steps on how to represent 4.32432 as a fraction.

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