Simplify: \((125 + 2.6) - 134\)

Question

Simplify: \((125 + 2.6) - 134\)

1. A. 2.25 (Correct answer)
2. B. 2.1
3. C. 2.35
4. D. 2.5

Correct Answer

Option A — 2.25

Detailed Solution & Explanation

The correct answer is 2.25.

Key Points

• Convert everything to one form. Working in decimals:
  • 1⅖ = 1 + 2/5 = 1.4
  • 1¾ = 1 + 3/4 = 1.75
• Evaluate the bracket first: 1.4 + 2.6 = 4.
• Then subtract: 4 − 1.75 = 2.25.

Additional Information

• The mixed numbers here convert to exact decimals because their denominators (5 and 4) divide a power of ten — always check this before choosing decimals over fractions.
• Common exact conversions: 1/2 = 0.5, 1/4 = 0.25, 1/5 = 0.2, 1/8 = 0.125, 1/20 = 0.05. Denominators such as 3, 6, 7 and 9 recur instead and are better kept as fractions.
• Note the neat intermediate step: 1.4 + 2.6 = 4 exactly, which the question is built around — spotting it removes any decimal arithmetic from the subtraction.

प्रश्न (हिन्दी में)

सरल करें: \((125 + 2.6) - 134\)

1. A. 2.25
2. B. 2.1
3. C. 2.35
4. D. 2.5