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The value of (−35)×(259)+(51−3)=?
59
−517
0
−54
−517
Solve the multiplication part first, simplify the fractions, then combine with the subtracted term using a common denominator.
Expression to evaluate: (-5/3) * (9/25) + (1/5 - 3)
A=(−35)×(259)+(51−3)
Solve the multiplication part first, simplify the fractions, then combine with the subtracted term using a common denominator.
Ensure the order of operations (BODMAS) is followed; perform the multiplication before the subtraction inside the parenthesis is resolved.
Solve multiplication
Perform the multiplication of the first two terms: (−35)×(259)=−(3×255×9)=−(7545). Simplifying by dividing by 15, we get −53.
−53
Simplify parenthesis
Calculate the value inside the parentheses: (51−3)=51−15=−514.
−514
Final addition
Add the two results: −53+(−514)=5−3−14=−517.
−517
B is correct because the result of the calculation is -17/5.
This type of simplification is fundamental to algebra and quantitative aptitude exams, often appearing in simplification/approximation modules.
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