What is 4.83516 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 4.83516 into a fraction.

Answer: 4.83516 as a fraction equals 483516/100000 or 120879/25000

Here is the solution for converting 4.83516 to a fraction:

Step 1:

First, we write 4.83516 as  
4.83516/1

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!
4.83516/1
  =  
4.83516 x 100000/1 x 100000
  =  
483516/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 483516 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 483516 are: 1  2  3  4  6  9  11  12  18  22  27  33  36  37  44  54  66  74  99  108  111  121  132  148  198  222  242  297  333  363  396  407  444  484  594  666  726  814  999  1089  1188  1221  1332  1452  1628  1998  2178  2442  3267  3663  3996  4356  4477  4884  6534  7326  8954  10989  13068  13431  14652  17908  21978  26862  40293  43956  53724  80586  120879  161172  241758  483516 
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 483516 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.
483516/100000
  =  
483516 ÷ 4/100000 ÷ 4
  =  
120879/25000


Good work! We have just walked through the steps on how to represent 4.83516 as a fraction.

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