Question

Express 2.5434343..... in the form of p/q, where p and q are integers and q is not =0

Answer 1

x=2.5434343....
10x=25.434343..... 1
1000x=2543.434343.... 2
2-1
1000x=2543.434343...
10x=25.434343......
990x=2518
x=2518/990

Answer 2

Answer:

$\text{The required fraction is }\frac{2518}{990}$

Step-by-step explanation:

Given the number 2.5434343...

we have to express the above number in the form of p/q, where p and q are integers and q is not equals to 0.

Let x=2.5434343.....   →  (1)

Multiply equation 1 by 10

$10x=25.434343.....$    →    (2)

Multiply equation 1 by 1000

$1000x=2543.4343.....$    →    (3)

Subtract 2 equation from 3 equation.

$990x=2518$

$x=\frac{2518}{990}$

which is required fraction.