What is 4.79412 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 4.79412 into a fraction.

Answer: 4.79412 as a fraction equals 479412/100000 or 119853/25000

Here is the solution for converting 4.79412 to a fraction:

Step 1:

First, we write 4.79412 as  
4.79412/1

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!
4.79412/1
  =  
4.79412 x 100000/1 x 100000
  =  
479412/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 479412 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 479412 are: 1  2  3  4  6  9  12  18  23  27  36  46  54  69  92  108  138  193  207  276  386  414  579  621  772  828  1158  1242  1737  2316  2484  3474  4439  5211  6948  8878  10422  13317  17756  20844  26634  39951  53268  79902  119853  159804  239706  479412 
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 479412 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.
479412/100000
  =  
479412 ÷ 4/100000 ÷ 4
  =  
119853/25000


Good work! We have just walked through the steps on how to represent 4.79412 as a fraction.

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