Question

Express 2.16 bar as a rational number in the simplest form
Please give answer with explanation

Answer 1

Hey mate here's your answer!
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$\bf{Ques.}$ => Express 2.16 bar as a rational number in the simplest form.

$\bf{solution}$ :-

let x = 2.$\bar{16}$ ----- (equation 1)

so ,

$\bf{100x}$ = 216.$\bar{16}$ ------- (equation 2)

then,

subtract equation (1) from equation (2) :-

$\bf{100x - x }$= 216.$\bar{16}$ - 2.$\bar{16}$

subtract the terms on RHS.

=> $\bf{99x}$ = $\bf{214}$

take 99 to other side, as it is multiplying, so tanking to RHS , it will divide!

=> $\bf{x}$ = $\bf{\frac{214}{99}}$

thus ,

2.$\bar{16}$ in rational number in simplest form is $\bf{\frac{214}{99}}$.

Answer 2

Answer:

Step-by-step explanation: