What is 2.53968 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 2.53968 into a fraction.

Answer: 2.53968 as a fraction equals 253968/100000 or 15873/6250

Here is the solution for converting 2.53968 to a fraction:

Step 1:

First, we write 2.53968 as  
2.53968/1

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!
2.53968/1
  =  
2.53968 x 100000/1 x 100000
  =  
253968/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 253968 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 253968 are: 1  2  3  4  6  8  11  12  13  16  22  24  26  33  37  39  44  48  52  66  74  78  88  104  111  132  143  148  156  176  208  222  264  286  296  312  407  429  444  481  528  572  592  624  814  858  888  962  1144  1221  1443  1628  1716  1776  1924  2288  2442  2886  3256  3432  3848  4884  5291  5772  6512  6864  7696  9768  10582  11544  15873  19536  21164  23088  31746  42328  63492  84656  126984  253968 
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 253968 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.
253968/100000
  =  
253968 ÷ 16/100000 ÷ 16
  =  
15873/6250


Good work! We have just walked through the steps on how to represent 2.53968 as a fraction.

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