What is 4.84848 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 4.84848 into a fraction.

Answer: 4.84848 as a fraction equals 484848/100000 or 30303/6250

Here is the solution for converting 4.84848 to a fraction:

Step 1:

First, we write 4.84848 as  
4.84848/1

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!
4.84848/1
  =  
4.84848 x 100000/1 x 100000
  =  
484848/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 484848 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 484848 are: 1  2  3  4  6  7  8  9  12  13  14  16  18  21  24  26  28  36  37  39  42  48  52  56  63  72  74  78  84  91  104  111  112  117  126  144  148  156  168  182  208  222  234  252  259  273  296  312  333  336  364  444  468  481  504  518  546  592  624  666  728  777  819  888  936  962  1008  1036  1092  1332  1443  1456  1554  1638  1776  1872  1924  2072  2184  2331  2664  2886  3108  3276  3367  3848  4144  4329  4368  4662  5328  5772  6216  6552  6734  7696  8658  9324  10101  11544  12432  13104  13468  17316  18648  20202  23088  26936  30303  34632  37296  40404  53872  60606  69264  80808  121212  161616  242424  484848 
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 484848 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.
484848/100000
  =  
484848 ÷ 16/100000 ÷ 16
  =  
30303/6250


Good work! We have just walked through the steps on how to represent 4.84848 as a fraction.

Convert any decimal to a fraction

Learn how a variety of decimals are represented as a fraction.

Enter a decimal value:


Examples of decimal to fraction conversions

Practice makes perfect! Gain experience converting decimals into fractions with these examples:



© www.asafraction.net