What is 4.33884 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 4.33884 into a fraction.

Answer: 4.33884 as a fraction equals 433884/100000 or 108471/25000

Here is the solution for converting 4.33884 to a fraction:

Step 1:

First, we write 4.33884 as  
4.33884/1

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!
4.33884/1
  =  
4.33884 x 100000/1 x 100000
  =  
433884/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 433884 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 433884 are: 1  2  3  4  6  11  12  19  22  33  38  44  57  66  76  114  132  173  209  228  346  418  519  627  692  836  1038  1254  1903  2076  2508  3287  3806  5709  6574  7612  9861  11418  13148  19722  22836  36157  39444  72314  108471  144628  216942  433884 
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 433884 and 100000 that gives us a GCF value of: 4

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.
433884/100000
  =  
433884 ÷ 4/100000 ÷ 4
  =  
108471/25000


Good work! We have just walked through the steps on how to represent 4.33884 as a fraction.

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