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Question Hard Mathematics Real Numbers 7: Decimal expansion of rational numbers Class 10 Level 21

यदि \(0.00\overline{45}\) को सरलतम भिन्न \(\frac{p}{q}\) में लिखा जाए, तो सही (q) कौन-सा है?

If \(0.00\overline{45}\) is written as \(\frac{p}{q}\) in lowest form, which is the correct (q)?

Explanation opens after your attempt
Correct Answer

A. (220)

Step 1

Concept

\(0.00\overline{45}\) has two non-repeating zeros and two repeating digits.

Step 2

Why this answer is correct

Its fraction form is \(\frac{45}{9900}\), which reduces to \(\frac{1}{220}\).

Step 3

Exam Tip

The first denominator formed from a recurring decimal may not be the final denominator. चरण 1: \(0.00\overline{45}\) में दो अनावर्ती शून्य और दो आवर्ती अंक हैं। चरण 2: भिन्न रूप \(\frac{45}{9900}\) है, जिसे (45) से सरल करने पर \(\frac{1}{220}\) मिलता है। चरण 3: आवर्ती दशमलव में बनने वाला पहला हर अंतिम हर नहीं हो सकता।

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