What is 4.83708 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 4.83708 into a fraction.

Answer: 4.83708 as a fraction equals 483708/100000 or 120927/25000

Here is the solution for converting 4.83708 to a fraction:

Step 1:

First, we write 4.83708 as  
4.83708/1

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!
4.83708/1
  =  
4.83708 x 100000/1 x 100000
  =  
483708/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 483708 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 483708 are: 1  2  3  4  6  12  173  233  346  466  519  692  699  932  1038  1398  2076  2796  40309  80618  120927  161236  241854  483708 
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 483708 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.
483708/100000
  =  
483708 ÷ 4/100000 ÷ 4
  =  
120927/25000


Good work! We have just walked through the steps on how to represent 4.83708 as a fraction.

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