Express 0.6+0.7bar + 0.47bar in the …

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

Install Now

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 $q \ne 0$ .

0Thank You

ANSWER

Related Questions

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, 3 weeks ago

CBSE > Class 09 > Mathematics

0 answers

This content has been hidden. One or more users have flagged this content as inappropriate. Once content is flagged, it is hidden from users and is reviewed by myCBSEguide team against our Community Guidelines. If content is found in violation, the user posting this content will be banned for 30 days from using Homework help section. Suspended users will receive error while adding question or answer. Question comments have also been disabled. Read community guidelines at https://mycbseguide.com/community-guidelines.html

Few rules to keep homework help section safe, clean and informative.

Don't post personal information, mobile numbers and other details.
Don't use this platform for chatting, social networking and making friends. This platform is meant only for asking subject specific and study related questions.
Be nice and polite and avoid rude and abusive language. Avoid inappropriate language and attention, vulgar terms and anything sexually suggestive. Avoid harassment and bullying.
Ask specific question which are clear and concise.

Remember the goal of this website is to share knowledge and learn from each other. Ask questions and help others by answering questions.

Posted by Yash Pandey 6 days, 23 hours ago

CBSE > Class 09 > Mathematics

0 answers

Ch-1 introduction

Posted by Sheikh Alfaz 5 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, 2 weeks ago

CBSE > Class 09 > Mathematics

0 answers

2x²+[1×(8x²)^-1]+1

Posted by Less Goo 10 months, 3 weeks ago

CBSE > Class 09 > Mathematics

0 answers

3√2×4√2×12√32

Posted by Manas Khurana 2 weeks, 6 days ago

CBSE > Class 09 > Mathematics

0 answers

What is 38747484±393884747

Posted by Alvin Thomas 1 month, 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 6 days, 23 hours 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, 3 weeks ago

CBSE > Class 09 > Mathematics

0 answers

X³-12x²+39x-28

Posted by Sukhi Devasi 10 months, 2 weeks ago

CBSE > Class 09 > Mathematics

0 answers

myCBSEguide

CBSE, JEE, NEET, CUET

myCBSEguide

Test Generator

CUET Mock Tests

Download myCBSEguide App

All Courses

Other Websites

CBSE Courses

Resources

Corporate

NCERT Solutions

CBSE Sample Papers