What is 2.50416 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 2.50416 into a fraction.

Answer: 2.50416 as a fraction equals 250416/100000 or 15651/6250

Here is the solution for converting 2.50416 to a fraction:

Step 1:

First, we write 2.50416 as  
2.50416/1

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!
2.50416/1
  =  
2.50416 x 100000/1 x 100000
  =  
250416/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 250416 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 250416 are: 1  2  3  4  6  8  9  12  16  18  24  36  37  47  48  72  74  94  111  141  144  148  188  222  282  296  333  376  423  444  564  592  666  752  846  888  1128  1332  1692  1739  1776  2256  2664  3384  3478  5217  5328  6768  6956  10434  13912  15651  20868  27824  31302  41736  62604  83472  125208  250416 
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 250416 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.
250416/100000
  =  
250416 ÷ 16/100000 ÷ 16
  =  
15651/6250


Good work! We have just walked through the steps on how to represent 2.50416 as a fraction.

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