Question
Download Solution PDFWhich simple fraction is equal to \(\rm 2.\overline{15}\)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The recurring decimal is 2.151515...
Formula used:
Let x = recurring decimal, and multiply by a power of 10 to shift the decimal point.
Then subtract to eliminate the recurring part and solve for x.
Calculation:
Let x = 2.151515...
Multiply by 100 (since 2 digits are recurring):
⇒ 100x = 215.151515...
Subtract the original equation:
⇒ 100x - x = 215.151515... - 2.151515...
⇒ 99x = 213
Solve for x:
⇒ x = 213 ÷ 99
⇒ x = 71 ÷ 33
∴ The correct answer is option (3).
Last updated on Jun 17, 2025
-> The Patna High Court Mazdoor 2025 Call Letter has been released on 16th June 2025.
-> A total of 171 vacancies have been released.
-> 8th/10th/12th-pass candidates are eligible for this post.
-> Applications for this recruitment were submitted online by 18th March 2025.
-> The selection process includes a Written Test, Cycling Test, Skill Test, and Interview.
-> The finally appointed candidates will be entitled to salary in the pay scale of INR 14800 to INR 40300 (Level -1).