What is 2.54124 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 2.54124 into a fraction.

Answer: 2.54124 as a fraction equals 254124/100000 or 63531/25000

Here is the solution for converting 2.54124 to a fraction:

Step 1:

First, we write 2.54124 as  
2.54124/1

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!
2.54124/1
  =  
2.54124 x 100000/1 x 100000
  =  
254124/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 254124 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 254124 are: 1  2  3  4  6  9  12  13  18  26  27  36  39  52  54  78  108  117  156  181  234  351  362  468  543  702  724  1086  1404  1629  2172  2353  3258  4706  4887  6516  7059  9412  9774  14118  19548  21177  28236  42354  63531  84708  127062  254124 
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 254124 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.
254124/100000
  =  
254124 ÷ 4/100000 ÷ 4
  =  
63531/25000


Good work! We have just walked through the steps on how to represent 2.54124 as a fraction.

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