What is 2.54448 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 2.54448 into a fraction.

Answer: 2.54448 as a fraction equals 254448/100000 or 15903/6250

Here is the solution for converting 2.54448 to a fraction:

Step 1:

First, we write 2.54448 as  
2.54448/1

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!
2.54448/1
  =  
2.54448 x 100000/1 x 100000
  =  
254448/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 254448 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 254448 are: 1  2  3  4  6  8  9  12  16  18  19  24  27  31  36  38  48  54  57  62  72  76  93  108  114  124  144  152  171  186  216  228  248  279  304  342  372  432  456  496  513  558  589  684  744  837  912  1026  1116  1178  1368  1488  1674  1767  2052  2232  2356  2736  3348  3534  4104  4464  4712  5301  6696  7068  8208  9424  10602  13392  14136  15903  21204  28272  31806  42408  63612  84816  127224  254448 
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 254448 and 100000 that gives us a GCF value of: 16

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.
254448/100000
  =  
254448 ÷ 16/100000 ÷ 16
  =  
15903/6250


Good work! We have just walked through the steps on how to represent 2.54448 as a fraction.

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