What is 2.55024 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 2.55024 into a fraction.

Answer: 2.55024 as a fraction equals 255024/100000 or 15939/6250

Here is the solution for converting 2.55024 to a fraction:

Step 1:

First, we write 2.55024 as  
2.55024/1

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!
2.55024/1
  =  
2.55024 x 100000/1 x 100000
  =  
255024/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 255024 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 255024 are: 1  2  3  4  6  7  8  9  11  12  14  16  18  21  22  23  24  28  33  36  42  44  46  48  56  63  66  69  72  77  84  88  92  99  112  126  132  138  144  154  161  168  176  184  198  207  231  252  253  264  276  308  322  336  368  396  414  462  483  504  506  528  552  616  644  693  759  792  828  924  966  1008  1012  1104  1232  1288  1386  1449  1518  1584  1656  1771  1848  1932  2024  2277  2576  2772  2898  3036  3312  3542  3696  3864  4048  4554  5313  5544  5796  6072  7084  7728  9108  10626  11088  11592  12144  14168  15939  18216  21252  23184  28336  31878  36432  42504  63756  85008  127512  255024 
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 255024 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.
255024/100000
  =  
255024 ÷ 16/100000 ÷ 16
  =  
15939/6250


Good work! We have just walked through the steps on how to represent 2.55024 as a fraction.

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