What is 2.94792 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 2.94792 into a fraction.

Answer: 2.94792 as a fraction equals 294792/100000 or 36849/12500

Here is the solution for converting 2.94792 to a fraction:

Step 1:

First, we write 2.94792 as  
2.94792/1

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!
2.94792/1
  =  
2.94792 x 100000/1 x 100000
  =  
294792/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 294792 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 294792 are: 1  2  3  4  6  8  12  24  71  142  173  213  284  346  426  519  568  692  852  1038  1384  1704  2076  4152  12283  24566  36849  49132  73698  98264  147396  294792 
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 294792 and 100000 that gives us a GCF value of: 8

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.
294792/100000
  =  
294792 ÷ 8/100000 ÷ 8
  =  
36849/12500


Good work! We have just walked through the steps on how to represent 2.94792 as a fraction.

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