What is 2.53708 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 2.53708 into a fraction.

Answer: 2.53708 as a fraction equals 253708/100000 or 63427/25000

Here is the solution for converting 2.53708 to a fraction:

Step 1:

First, we write 2.53708 as  
2.53708/1

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!
2.53708/1
  =  
2.53708 x 100000/1 x 100000
  =  
253708/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 253708 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 253708 are: 1  2  4  7  13  14  17  26  28  34  41  52  68  82  91  119  164  182  221  238  287  364  442  476  533  574  697  884  1066  1148  1394  1547  2132  2788  3094  3731  4879  6188  7462  9061  9758  14924  18122  19516  36244  63427  126854  253708 
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 253708 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.
253708/100000
  =  
253708 ÷ 4/100000 ÷ 4
  =  
63427/25000


Good work! We have just walked through the steps on how to represent 2.53708 as a fraction.

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