What is 2.57742 as a fraction?

Answer: 2.57742 as a fraction equals 257742/100000 or 128871/50000

Here is the solution for converting 2.57742 to a fraction:

Step 1:

First, we write 2.57742 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!

2.57742/1

  =  

2.57742 x 100000/1 x 100000

  =  

257742/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 257742 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 257742 are: 1  2  3  6  9  18  27  37  43  54  74  81  86  111  129  162  222  258  333  387  666  774  999  1161  1591  1998  2322  2997  3182  3483  4773  5994  6966  9546  14319  28638  42957  85914  128871  257742 
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 257742 and 100000 that gives us a GCF value of: 2

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.

257742/100000

  =  

257742 ÷ 2/100000 ÷ 2

  =  

128871/50000

Good work! We have just walked through the steps on how to represent 2.57742 as a fraction.