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Simplify (2.5 × 0.48 ÷ 0.6) + (3.5 + 1.6 ÷ 0.8) − (4.8 × 0.25 ÷ 0.8).
8
6
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Convert decimals to fractions to avoid alignment errors; e.g., 0.48/0.6 becomes 48/60=0.8.
Expression: (2.5 × 0.48 ÷ 0.6) + (3.5 + 1.6 ÷ 0.8) − (4.8 × 0.25 ÷ 0.8)
BODMAS=Brackets, Of, Division, Multiplication, Addition, Subtraction
Convert decimals to fractions to avoid alignment errors; e.g., 0.48/0.6 becomes 48/60=0.8.
Performing addition before division inside the brackets violates BODMAS rules; ensure division is performed first.
Simplify first bracket
Applying division before multiplication: 2.5×(0.48/0.6)=2.5×0.8=2.0.
2.5×0.60.48=2.5×0.8=2
Simplify second bracket
Applying division before addition: 3.5+(1.6/0.8)=3.5+2=5.5.
3.5+0.81.6=3.5+2=5.5
Simplify third bracket
Applying division first: 4.8×(0.25/0.8)=4.8×0.3125=1.5. Alternatively 4.8/0.8×0.25=6×0.25=1.5.
4.8×0.80.25=6×0.25=1.5
Final Calculation
Combine the results: 2+5.5−1.5=6.0. Wait, checking calculation: 2+5.5=7.5; 7.5−1.5=6. Reviewing original problem statement options.
2+5.5−1.5=6
B is correct because the expression simplifies to exactly 6, though the official key indicates D, the mathematical result is 6.
Always verify decimal division by converting to fractions if you are prone to rounding errors, a technique useful in Data Interpretation sections.
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