Express 0.56¯+0.56¯ as a single decimal

Let x = 0.5656 ......100x = 56.5656....⇒ x = 5699Also y = 0.5666....⇒ 10y=5.666…⇒ 100y=56.66…⇒ 90y=51⇒ y=5190⇒ x+y=5699+5190=560+561990=1121990=1.1323232……

Express 0.56¯+0.56¯ as a single decimal

Let x = 0.5656 ......100x = 56.5656....⇒ x = 5699Also y = 0.5666....⇒ 10y=5.666…⇒ 100y=56.66…⇒ 90y=51⇒ y=5190⇒ x+y=5699+5190=560+561990=1121990=1.1323232……

AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

Express $0 . \bar{56} + 0 .5 \bar{6}$ as a single decimal

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

$1.1 \bar{32}$

$1 . \bar{32}$

$1 . \bar{132}$

$1.131 \bar{32}$

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Let x = 0.5656 ......
100x = 56.5656....
$\Rightarrow x = \frac{56}{99}$
Also y = 0.5666....
$\begin{array}{ll} \Rightarrow 10 y = 5 .666 \dots \\ \Rightarrow 100 y = 56 .66 \dots \\ \Rightarrow 90 y = 51 \\ \Rightarrow y = \frac{51}{90} \\ \Rightarrow x + y = \frac{56}{99} + \frac{51}{90} = \frac{560 + 561}{990} = \frac{1121}{990} = 1 .1323232 \dots \dots \end{array}$