No products in the cart.

Express 0.6+0.7bar + 0.47bar in the …

CBSE, JEE, NEET, CUET

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

Express 0.6+0.7bar + 0.47bar in the form of p/q

Posted by Rita Bishoyi 6 years ago

CBSE > Class 09 > Mathematics

1 answers

Sia ? 6 years ago

We have $0.6 = \frac{6}{{10}}$ ...(1)
Let $x = 0.\bar 7 = 0.777...$ ...(2)
Subtracting (1) from (2), we get
9x = 7 $\Rightarrow x = \frac{7}{9}$ or $0.\bar 7 = \frac{7}{9}$
Now, let $y = 0.4\bar 7 = 0.4777...$
$\therefore \;10y = 4.\bar 7$ ...(3)
And $100y = 47.\bar 7$ ...(4)
Subtracting (3) from (4), we get
90y = 43 $\Rightarrow y = \frac{{43}}{{90}}$
$\therefore \;0.4\bar 7 = \frac{{43}}{{90}}$
Now, $0.6 + 0.\bar 7 + 0.4\bar 7$ $= \frac{6}{{10}} + \frac{7}{9} + \frac{{43}}{{90}}$ $= \frac{{54 + 70 + 43}}{{90}} = \frac{{167}}{{90}}$
So, $\frac{{167}}{{90}}$ is of the form $\frac{p}{q}$ and $q \ne 0$ .

ANSWER

http://mycbseguide.com/examin8/

Related Questions

3√2×4√2×12√32

Posted by Manas Khurana 5 days, 18 hours ago

CBSE > Class 09 > Mathematics

0 answers

Cost of a pen is two and half times the cost of a pencil. Express the situation as a linear equation in two variables

Posted by Kirshika Ganesh 3 months, 1 week ago

CBSE > Class 09 > Mathematics

0 answers

X³-12x²+39x-28

Posted by Sukhi Devasi 10 months ago

CBSE > Class 09 > Mathematics

0 answers

sides of a triangle are in the ratio of 12:17:25 and its perimeter is 540cm. find its area

Posted by Akhilesh Patidar 10 months ago

CBSE > Class 09 > Mathematics

0 answers

2x+5y

Posted by Yash Pandey 2 months, 3 weeks ago

CBSE > Class 09 > Mathematics

0 answers

The polynomial of the type ax²+bx+c,a=0 is called

Posted by Duruvan Sivan 10 months ago

CBSE > Class 09 > Mathematics

0 answers

2x²+[1×(8x²)^-1]+1

Posted by Less Goo 10 months, 1 week ago

CBSE > Class 09 > Mathematics

0 answers

What is 38747484±393884747

Posted by Alvin Thomas 1 month ago

CBSE > Class 09 > Mathematics

0 answers

Ch-1 introduction

Posted by Sheikh Alfaz 4 months, 2 weeks ago

CBSE > Class 09 > Mathematics

0 answers

Prove that the sum of all the three interior angles of a triangle is 180 degree

Posted by Savitha Savitha 10 months ago

CBSE > Class 09 > Mathematics

0 answers

myCBSEguide App

myCBSEguide

Trusted by 1 Crore+ Students

Test Generator

Test Generator

Create papers online. It's FREE.

CUET Mock Tests

CUET Mock Tests

75,000+ questions to practice only on myCBSEguide app

Google Play

Download myCBSEguide App