What is 2.43432 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 2.43432 into a fraction.

Answer: 2.43432 as a fraction equals 243432/100000 or 30429/12500

Here is the solution for converting 2.43432 to a fraction:

Step 1:

First, we write 2.43432 as  
2.43432/1

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!
2.43432/1
  =  
2.43432 x 100000/1 x 100000
  =  
243432/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 243432 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 243432 are: 1  2  3  4  6  7  8  9  12  14  18  21  23  24  27  28  36  42  46  49  54  56  63  69  72  84  92  98  108  126  138  147  161  168  184  189  196  207  216  252  276  294  322  378  392  414  441  483  504  552  588  621  644  756  828  882  966  1127  1176  1242  1288  1323  1449  1512  1656  1764  1932  2254  2484  2646  2898  3381  3528  3864  4347  4508  4968  5292  5796  6762  8694  9016  10143  10584  11592  13524  17388  20286  27048  30429  34776  40572  60858  81144  121716  243432 
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 243432 and 100000 that gives us a GCF value of: 8

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.
243432/100000
  =  
243432 ÷ 8/100000 ÷ 8
  =  
30429/12500


Good work! We have just walked through the steps on how to represent 2.43432 as a fraction.

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