What is 2.50272 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 2.50272 into a fraction.

Answer: 2.50272 as a fraction equals 250272/100000 or 7821/3125

Here is the solution for converting 2.50272 to a fraction:

Step 1:

First, we write 2.50272 as  
2.50272/1

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!
2.50272/1
  =  
2.50272 x 100000/1 x 100000
  =  
250272/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 250272 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 250272 are: 1  2  3  4  6  8  9  11  12  16  18  22  24  32  33  36  44  48  66  72  79  88  96  99  132  144  158  176  198  237  264  288  316  352  396  474  528  632  711  792  869  948  1056  1264  1422  1584  1738  1896  2528  2607  2844  3168  3476  3792  5214  5688  6952  7584  7821  10428  11376  13904  15642  20856  22752  27808  31284  41712  62568  83424  125136  250272 
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 250272 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.
250272/100000
  =  
250272 ÷ 32/100000 ÷ 32
  =  
7821/3125


Good work! We have just walked through the steps on how to represent 2.50272 as a fraction.

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