What is 2.58468 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 2.58468 into a fraction.

Answer: 2.58468 as a fraction equals 258468/100000 or 64617/25000

Here is the solution for converting 2.58468 to a fraction:

Step 1:

First, we write 2.58468 as  
2.58468/1

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!
2.58468/1
  =  
2.58468 x 100000/1 x 100000
  =  
258468/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 258468 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 258468 are: 1  2  3  4  6  7  12  14  17  21  28  34  42  51  68  84  102  119  181  204  238  357  362  476  543  714  724  1086  1267  1428  2172  2534  3077  3801  5068  6154  7602  9231  12308  15204  18462  21539  36924  43078  64617  86156  129234  258468 
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 258468 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.
258468/100000
  =  
258468 ÷ 4/100000 ÷ 4
  =  
64617/25000


Good work! We have just walked through the steps on how to represent 2.58468 as a fraction.

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