What is 2.58456 as a fraction?

Answer: 2.58456 as a fraction equals 258456/100000 or 32307/12500

Here is the solution for converting 2.58456 to a fraction:

Step 1:

First, we write 2.58456 as  

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!

2.58456/1

  =  

2.58456 x 100000/1 x 100000

  =  

258456/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 258456 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 258456 are: 1  2  3  4  6  8  11  12  22  24  33  44  66  88  89  121  132  178  242  264  267  356  363  484  534  712  726  968  979  1068  1452  1958  2136  2904  2937  3916  5874  7832  10769  11748  21538  23496  32307  43076  64614  86152  129228  258456 
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 258456 and 100000 that gives us a GCF value of: 8

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.

258456/100000

  =  

258456 ÷ 8/100000 ÷ 8

  =  

32307/12500

Good work! We have just walked through the steps on how to represent 2.58456 as a fraction.