Multiple choice

\text{What approximate value should come at place of question mark (?) in the following questions?}\(\frac{2}{7} \times \frac{1}{8} + \frac{3}{7} \div \frac{6}{14} = ?)

  1. $\frac{2}{56}$
  2. $\frac{3}{56}$
  3. $1$
  4. $5$
  5. $\frac{50}{60}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Calculate: (2/7)×(1/8) = 2/56 = 1/28. And: (3/7)÷(6/14) = (3/7)×(14/6) = 42/42 = 1. Sum: 1/28 + 1 = 1/28 + 28/28 = 29/28 ≈ 1.04. But wait, let me recalculate the second part: (3/7)÷(6/14) = (3/7)×(14/6) = 42/42 = 1. So total = 1/28 + 1 = 1 + 1/28, not exactly 1. Let me check the first part again: (2/7)×(1/8) = 2/(7×8) = 2/56 = 1/28. Sum = 1/28 + 1 = 29/28. Hmm, none of the options match 29/28. Option C is 1, which is approximately 29/28 ≈ 1.036. But the question asks for approximate value? Looking at the question again: 'What approximate value should come...' So the answer 1 is approximately correct. Actually wait, let me re-read: (2/7)×(1/8) + (3/7)÷(6/14). First term: 2/56 = 1/28. Second term: 3/7 ÷ 6/14 = 3/7 × 14/6 = 42/42 = 1. Total: 1 + 1/28 = 29/28 ≈ 1.04. Among options, 1 is closest. But actually, 29/28 rounds to 1, so C is correct.