जर 17/18 = a व 18/19 = b असेल तर खालीलपैकी कोणता पर्याय अचूक आहे ?

The correct answer is Option B (a - b < 0).

Key Points:
• Comparison of Proper Fractions:
• Given fractions: a = (17)/(18) and b = (18)/(19).
• Comparing their magnitudes:
• In both fractions, the difference between denominator and numerator is equal to 1: 18 - 17 = 1 and 19 - 18 = 1.
• When the difference between denominator and numerator is constant for proper fractions, the fraction with larger numbers has a greater value:
• a = (17)/(18) ≈ 0.9444
• b = (18)/(19) ≈ 0.9473
• Clearly, a < b.
• Since a < b, subtracting b from both sides gives:
• a - b < 0
• Matches Option (2) a - b < 0.
• Key Takeaway: Since 17/18 < 18/19, we have a < b, which implies a - b < 0.