What is 4.84416 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 4.84416 into a fraction.

Answer: 4.84416 as a fraction equals 484416/100000 or 15138/3125

Here is the solution for converting 4.84416 to a fraction:

Step 1:

First, we write 4.84416 as  
4.84416/1

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!
4.84416/1
  =  
4.84416 x 100000/1 x 100000
  =  
484416/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 484416 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 484416 are: 1  2  3  4  6  8  9  12  16  18  24  29  32  36  48  58  64  72  87  96  116  144  174  192  232  261  288  348  464  522  576  696  841  928  1044  1392  1682  1856  2088  2523  2784  3364  4176  5046  5568  6728  7569  8352  10092  13456  15138  16704  20184  26912  30276  40368  53824  60552  80736  121104  161472  242208  484416 
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 484416 and 100000 that gives us a GCF value of: 32

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.
484416/100000
  =  
484416 ÷ 32/100000 ÷ 32
  =  
15138/3125


Good work! We have just walked through the steps on how to represent 4.84416 as a fraction.

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