Solve the given equation. 130 - 246 ÷ (1223 + 343)
2024
Solve the given equation. 130 - 246 ÷ (1223 + 343)
- A.
132.423
- B.
129.843
- C.
135.324
- D.
134.098
Attempted by 3 students.
Show answer & explanation
Correct answer: B
BODMAS (Brackets, Orders, Division/Multiplication, Addition/Subtraction) fixes the order in which a mixed arithmetic expression must be evaluated: resolve everything inside brackets first, then carry out division and multiplication, and only then perform addition and subtraction. Skipping this order changes the result.
Solve the bracket first: 1223 + 343 = 1566.
Carry out the division next: 246 ÷ 1566 ≈ 0.157.
Finally perform the subtraction: 130 − 0.157 = 129.843.
Cross-check with exact fractions: 246 ⁄ 1566 simplifies to 41 ⁄ 261 (dividing both by 6). So the expression equals 130 − 41⁄261 = (130 × 261 − 41) ⁄ 261 = 33889 ⁄ 261 = 129.843 (rounded to three decimals), confirming the step-by-step decimal calculation above.
Hence, the value of the expression is 129.843.