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in Number System by (46.2k points)
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When the number N = \(0.735\overline{45}\) is written as a fraction in its lowest terms, the denominator exceeds the numerator by

(a) 199 

(b) 299 

(c) 109 

(d) 219

1 Answer

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Best answer

(b) 299

N = \(0.735\overline{45}\) = \(\frac{73545 -735}{99000}=\frac{72810}{99000}=\frac{809}{1100}\)

∴ Required difference = 1100 – 809 = 299.

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