Verified by Ajay Kumar
A number is written as 3.272727... (repeating). Express it as a fraction.
\(\frac{327}{99}\)
\(\frac{324}{99}\)
\(\frac{298}{91}\)
\(\frac{333}{99}\)
Answer: A
Source-marked answer: \(\frac{327}{99}\) (A). Direct conversion of the printed repeating decimal gives \(x=3.272727...\). Then \(100x=327.272727...\). Subtracting, \(99x=324\), so \(x=\frac{324}{99}=\frac{36}{11}\), which is option B. The green-marked option A conflicts with the printed decimal, so the source-marked answer is retained with this note.
एक संख्या 3.272727... (आवर्ती) के रूप में लिखी गई है। इसे भिन्न में व्यक्त कीजिए।
\(\frac{327}{99}\)
\(\frac{324}{99}\)
\(\frac{298}{91}\)
\(\frac{333}{99}\)
उत्तर: A
स्रोत में चिह्नित उत्तर: \(\frac{327}{99}\) (A)। मुद्रित आवर्ती दशमलव को सीधे भिन्न में बदलने पर \(x=3.272727...\)। तब \(100x=327.272727...\)। घटाने पर \(99x=324\), इसलिए \(x=\frac{324}{99}=\frac{36}{11}\) मिलता है, जो विकल्प B है। हरे रंग से चिह्नित विकल्प A मुद्रित दशमलव से मेल नहीं खाता; इसलिए स्रोत का उत्तर टिप्पणी सहित रखा गया है।
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