Evaluate (4.59 * 1.8 ÷ 3.6) + (5.4 of 1/9) - (1/5). Use “of” as multiplication and standard operator precedence.

Introduction / Context:
This computation mixes decimals and fractions with multiplication, division, and subtraction. Applying operator precedence and treating “of” as multiplication yields a straightforward sequence of small computations without a calculator if you leverage simple ratios (e.g., dividing by 3.6 or multiplying by 1/9).

Given Data / Assumptions:

• Expression: (4.59 * 1.8 ÷ 3.6) + (5.4 * 1/9) - (1/5).
• Perform multiplication/division left to right before addition/subtraction.
• “of” denotes multiplication.

Concept / Approach:
Break into three parts: A = (4.59 * 1.8 ÷ 3.6), B = (5.4 * 1/9), C = (1/5). Compute each precisely and then combine. Notice 1.8/3.6 = 1/2, which halves 4.59 quickly, and 5.4/9 = 0.6 — simple decimal conversions reduce error risk.

Step-by-Step Solution:
A: 4.59 * 1.8 = 8.262; then 8.262 ÷ 3.6 = 2.295.B: 5.4 * 1/9 = 0.6.C: 1/5 = 0.2.Total = 2.295 + 0.6 - 0.2 = 2.695.

Verification / Alternative check:
Use fraction forms: 4.59 * (1.8/3.6) = 4.59 * 1/2 = 2.295; 5.4/9 = 0.6; 2.295 + 0.6 − 0.2 = 2.695 — consistent.

Why Other Options Are Wrong:

• 3.015 / 2.705 / 2.615: These arise from rounding early, mis-dividing 8.262 by 3.6, or mis-evaluating 5.4 of 1/9.
• None of these: Incorrect because 2.695 is listed and correct.

Common Pitfalls:
Applying subtraction before finishing the division; interpreting “of” incorrectly; rounding mid-calculation.

Final Answer:
2.695