What is 2.47104 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 2.47104 into a fraction.

Answer: 2.47104 as a fraction equals 247104/100000 or 7722/3125

Here is the solution for converting 2.47104 to a fraction:

Step 1:

First, we write 2.47104 as  
2.47104/1

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!
2.47104/1
  =  
2.47104 x 100000/1 x 100000
  =  
247104/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 247104 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 247104 are: 1  2  3  4  6  8  9  11  12  13  16  18  22  24  26  27  32  33  36  39  44  48  52  54  64  66  72  78  88  96  99  104  108  117  132  143  144  156  176  192  198  208  216  234  264  286  288  297  312  351  352  396  416  429  432  468  528  572  576  594  624  702  704  792  832  858  864  936  1056  1144  1188  1248  1287  1404  1584  1716  1728  1872  2112  2288  2376  2496  2574  2808  3168  3432  3744  3861  4576  4752  5148  5616  6336  6864  7488  7722  9152  9504  10296  11232  13728  15444  19008  20592  22464  27456  30888  41184  61776  82368  123552  247104 
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 247104 and 100000 that gives us a GCF value of: 32

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.
247104/100000
  =  
247104 ÷ 32/100000 ÷ 32
  =  
7722/3125


Good work! We have just walked through the steps on how to represent 2.47104 as a fraction.

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