Question

The value of \( \frac{0.35 \times 0.7}{0.63 \times 3.6} + 0.27 (0.83 + 0.16) \) is:

• A. \( \frac{15}{11} \)
• B. \( \frac{46}{33} \)
• C. \( \frac{16}{33} \)
• D. \( \frac{4}{3} \)

Hint:

Break down the calculation into manageable steps. Estimate and match with the closest fraction if options are in fractional form.

Answer 1

The Correct Option is B

First, compute the first term: \( \frac{0.35 \times 0.7}{0.63 \times 3.6} = \frac{0.245}{2.268} \approx 0.108 \) Next, compute the second term: \( 0.27 \times (0.83 + 0.16) = 0.27 \times 0.99 = 0.2673 \) Adding both: \( 0.108 + 0.2673 = 0.3753 \approx \frac{46}{33} \)