Approximate (to the nearest integer): 15 7/8 × 23 1/5 + 3 4/5 × 5 1/8 = ?

Introduction:
Mixed-number products can be computed exactly using improper fractions, then summed and rounded to the nearest integer (as requested). This balances exactness and the approximation nature of the problem to match the answer format.

Given Data / Assumptions:

• 15 7/8 = 127/8; 23 1/5 = 116/5
• 3 4/5 = 19/5; 5 1/8 = 41/8
• Sum the two products; report nearest integer.

Concept / Approach:
Convert to improper fractions, multiply numerators and denominators, add fractions with common denominator 40, then round the final decimal to the nearest whole number to match the options.

Step-by-Step Solution:

Verification / Alternative check:
Using decimal mixed forms (15.875 * 23.2) + (3.8 * 5.125) ≈ 368.3 + 19.475 = 387.775, same as above, confirming the rounding to 388.

Why Other Options Are Wrong:
385 and 370 are farther from 387.775 than 388; 360 and 350 are much too small.

Common Pitfalls:
Rounding early (before addition) can shift the final rounding decision. Keep exact fraction sums until the end, then round once.

Final Answer:
388