What is 4.73892 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 4.73892 into a fraction.

Answer: 4.73892 as a fraction equals 473892/100000 or 118473/25000

Here is the solution for converting 4.73892 to a fraction:

Step 1:

First, we write 4.73892 as  
4.73892/1

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!
4.73892/1
  =  
4.73892 x 100000/1 x 100000
  =  
473892/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 473892 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 473892 are: 1  2  3  4  6  12  17  23  34  46  51  68  69  92  101  102  138  202  204  276  303  391  404  606  782  1173  1212  1564  1717  2323  2346  3434  4646  4692  5151  6868  6969  9292  10302  13938  20604  27876  39491  78982  118473  157964  236946  473892 
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 473892 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.
473892/100000
  =  
473892 ÷ 4/100000 ÷ 4
  =  
118473/25000


Good work! We have just walked through the steps on how to represent 4.73892 as a fraction.

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