Question

Convert 2.457457457... In the from of p/q

Answer 1

Answer:

2.457457457... = x (say)---------(equation 1)

then, 1000x = 1000(2.457457457...)

= 2457.457457457... --------(equation 2)

now,

subtracting equations (1) from (2), we get--

1000x - 1x = (2457.457457457...) - (2.457457457...)

=> 999x = 2455

=> x = 2455/999

Answer : 2.457457457 (in the form of p/q) = 2455/999