What is 2.5704 as a fraction?

Answer: 2.5704 as a fraction equals 25704/10000 or 3213/1250

Here is the solution for converting 2.5704 to a fraction:

Step 1:

First, we write 2.5704 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!

2.5704/1

  =  

2.5704 x 10000/1 x 10000

  =  

25704/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 25704 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 25704 are: 1  2  3  4  6  7  8  9  12  14  17  18  21  24  27  28  34  36  42  51  54  56  63  68  72  84  102  108  119  126  136  153  168  189  204  216  238  252  306  357  378  408  459  476  504  612  714  756  918  952  1071  1224  1428  1512  1836  2142  2856  3213  3672  4284  6426  8568  12852  25704 
The factors of 10000 are: 1  2  4  5  8  10  16  20  25  40  50  80  100  125  200  250  400  500  625  1000  1250  2000  2500  5000  10000 
So for 25704 and 10000 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.

25704/10000

  =  

25704 ÷ 8/10000 ÷ 8

  =  

3213/1250

Good work! We have just walked through the steps on how to represent 2.5704 as a fraction.