What is 2.47044 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 2.47044 into a fraction.

Answer: 2.47044 as a fraction equals 247044/100000 or 61761/25000

Here is the solution for converting 2.47044 to a fraction:

Step 1:

First, we write 2.47044 as  
2.47044/1

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!
2.47044/1
  =  
2.47044 x 100000/1 x 100000
  =  
247044/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 247044 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 247044 are: 1  2  3  4  6  7  12  14  17  21  28  34  42  51  68  84  102  119  173  204  238  346  357  476  519  692  714  1038  1211  1428  2076  2422  2941  3633  4844  5882  7266  8823  11764  14532  17646  20587  35292  41174  61761  82348  123522  247044 
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 247044 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.
247044/100000
  =  
247044 ÷ 4/100000 ÷ 4
  =  
61761/25000


Good work! We have just walked through the steps on how to represent 2.47044 as a fraction.

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