Class 9 Mathematics - Number Systems - Rational numbers Easy Quiz

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\(\frac{10}{25}\) का सरलतम रूप क्या है?

What is the simplest form of \(\frac{10}{25}\)?

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Correct Answer

B. \(\frac{2}{5}\)

Explanation

Simple Explanation

10 और 25 का महत्तम समापवर्तक 5 है। अंश और हर दोनों को 5 से भाग देने पर \(\frac{10\div5}{25\div5}=\frac{2}{5}\) प्राप्त होता है। विकल्प A \(\frac{1}{5}\) गलत है, क्योंकि वह 10 को 2 से भाग देने पर ही प्राप्त होगा, जबकि हर को भी उसी गुणनखंड से भाग देना आवश्यक है। परीक्षा-टिप: भिन्न को सरलतम रूप में बदलने के लिए अंश और हर को उनके महत्तम समापवर्तक से भाग दें। / The greatest common divisor of 10 and 25 is 5. Dividing both the numerator and denominator by 5 gives \(\frac{10\div5}{25\div5}=\frac{2}{5}\). Option A, \(\frac{1}{5}\), is incorrect because the numerator and denominator must both be divided by the same common factor. Exam tip: To reduce a fraction to its simplest form, divide its numerator and denominator by their greatest common divisor.

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