# When the number N = 0.73545 is written as a fraction in its lowest terms, the denominator exceeds the numerator by​​​​​​

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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

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(b) 299

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

∴ Required difference = 1100 – 809 = 299.