18+8%3-5/3

Question

18+8%3-5/3

BlackTom AI · Accepted Answer

Order of operations: modulo and division have the same precedence as multiplication/division and must be done before addition/subtraction. So evaluate 8%3 and 5/3 first, then perform the additions/subtractions left to right.

Step 1 — Evaluate 8%3 (modulo): 8 divided by 3 gives quotient 2 and remainder 2, so 8%3 = 2.

Step 2 — Evaluate 5/3: this is the rational number 5/3 (no simplification beyond that).

Step 3 — Substitute these results into the original expression:
18 + 8%3 - 5/3 = 18 + 2 - 5/3.

Step 4 — Combine the integer terms: 18 + 2 = 20, so the expression becomes 20 - 5/3.

Step 5 — Convert to a common denominator to subtract: 20 = 60/3, so
20 - 5/3 = (60/3) - (5/3) = (60 - 5)/3 = 55/3.

Decimal check: 55/3 ≈ 18.333..., consistent with the numeric evaluation 18 + 2 - 1.666... = 18.333....

Why this is correct and not other readings: some might mistakenly read “%” as the percent operator (so 8% of 3 = 0.24) or as an alternative symbol; those interpretations change the operations and do not follow the typical programming/mathematical meaning of “%” as modulo. Interpreting % as modulo (remainder) is standard here and yields 2 for 8%3, which leads to 55/3.

Final confirmation: the correct simplified result is 55/3, matching the provided answer.

18+8%3-5/3数值题

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