Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
91 views
in Number System by (38.9k points)

\(4.\overline{7}\) = ..................

A) \(\frac{43}{9}\)

B) \(\frac{9}{4}\)

C) \(\frac{12}{31}\)

D) \(\frac{47}{10}\)

Please log in or register to answer this question.

2 Answers

+1 vote
by (36.7k points)

Correct option is   A) \(\frac{43}{9}\)

0 votes
by (57.0k points)

Correct option is (A)  43/9

Let x = \(4.\bar{7}\) 

\(\Rightarrow\) x = 4.777...     ______(1)

Multiply equation (1) by 10, we obtain

10x = 47.777...    ______(2)

Subtract equation (1) from (2), we get

10x - x = 47.777.... - 4.777....

\(\Rightarrow\) 9x = 43

\(\Rightarrow\) x = \(\frac{43}{9}\).

No related questions found

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...