If 11 / 19 = A and 2 / 9 = B, then what is A - B?

Question

If 11 / 19 = A and 2 / 9 = B, then what is A - B?

1. A. 0.36 (Correct answer)
2. B. 0.56
3. C. 0.76
4. D. 0.6

Correct Answer

Option A — 0.36

Detailed Solution & Explanation

The correct answer is 0.36.

Key Points

• Convert each fraction to a decimal:
  • A = 11 / 19 ≈ 0.5789
  • B = 2 / 9 ≈ 0.2222
• Subtract: 0.5789 − 0.2222 ≈ 0.3567, which rounds to 0.36.
• Exactly: 11/19 − 2/9 = (99 − 38) / 171 = 61/171 ≈ 0.3567.

Additional Information

• Subtracting fractions requires a common denominator — here 19 × 9 = 171, since 19 and 9 share no factor.
• Recurring decimals worth knowing: 1/9 = 0.111…, 2/9 = 0.222…, 1/3 = 0.333…, 1/6 = 0.1666…, 1/7 = 0.142857 recurring.
• When the options are well separated, as here, approximating to two decimal places is faster and entirely safe; reach for exact fractions only when two options sit close together.

प्रश्न (हिन्दी में)

यदि 11 / 19 = A और 2 / 9 = B है, तो A - B क्या है?

1. A. 0.36
2. B. 0.56
3. C. 0.76
4. D. 0.6