What is 4.74444 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 4.74444 into a fraction.

Answer: 4.74444 as a fraction equals 474444/100000 or 118611/25000

Here is the solution for converting 4.74444 to a fraction:

Step 1:

First, we write 4.74444 as  
4.74444/1

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!
4.74444/1
  =  
4.74444 x 100000/1 x 100000
  =  
474444/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 474444 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 474444 are: 1  2  3  4  6  9  12  18  23  27  36  46  54  69  92  108  138  191  207  276  382  414  573  621  764  828  1146  1242  1719  2292  2484  3438  4393  5157  6876  8786  10314  13179  17572  20628  26358  39537  52716  79074  118611  158148  237222  474444 
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 474444 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.
474444/100000
  =  
474444 ÷ 4/100000 ÷ 4
  =  
118611/25000


Good work! We have just walked through the steps on how to represent 4.74444 as a fraction.

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