Question

Express 0.26bar in the form of p / q where p and q are integers and q is not equal to zero

Answer 1

Answer:

$\underline{\huge{\boxed{\blue{\underline{\mathbb{\pink{ANSWER}}}}}}}$

TO,EXPRESS $\blue0.\overline{26}$IN THE FORM OF P/Q

If possible let x=0.2626............... __(i)

MULTIPLYING EQUATION (i) by 100

100x=026.2626................__(ii)

$\underline{\blue{\underline{\mathbb{\pink{SUBTRACTING}}}}}$eq. (i)from(ii)

$\frac{100x=026.26.......}{x=0.26.....}\\{99x=026.0000....}$

$\small\red{\boxed{HENCE}}$ X = $\frac{026}{99}$p/q proved.

Answer 2

Answer:

2/9

Step-by-step explanation:

if u meant 0.266666.....

then this is the ans...

let the rational no. be x

since the bar is over one no., multiply both sides by 10

x=0.26666....

10x=0.2666....x10

0.2666...x10= 2.666....

now subtract both equations

10x-x=2.6666....-0.6666

9x=2

x=2/9

hope this was helpful :)