The value oftimes (2/6)x(28/10)+(9/5-4) ?

Appeared in: RRB Nsg Superintendent -29 April 2025 (Shift-1st)

Explanation

The expression is solved using the BODMAS/PEMDAS rule, which dictates the order of operations: Brackets, Orders, Division/Multiplication, Addition/Subtraction.
First, the terms inside the brackets are calculated. The multiplication (2/6) × (18/10) simplifies to 3/5.
Next, the subtraction (9/5 - 4) is calculated by finding a common denominator, resulting in -11/5.
Finally, the results are added: 3/5 + (-11/5) = (3 - 11)/5 = -8/5.

Option A: This value may result from errors in fraction multiplication or addition, such as adding denominators instead of finding a common one.
Option C: This might be obtained by incorrectly finding a common denominator during the final addition step, for example, by mistakenly using 10 instead of 5.
Option D: This is the simplified value of the first fraction (2/6), which is 1/3. It ignores all other operations in the expression.

Visual 1: Flowchart - A flowchart illustrating the step-by-step application of the BODMAS rule to solve the given expression. It would show breaking down the problem into smaller parts: solving each bracket first, then combining the results.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Order of Operations (BODMAS/PEMDAS) for expressions involving fractions as background academic context rather than a clinical decision trigger.
Accurate calculation is a fundamental skill in nursing, critical for patient safety.
Nurses use mathematical skills daily for tasks like calculating medication dosages, determining IV drip rates, and interpreting patient data charts. An error can have severe consequences.
What if? If a nurse miscalculated a dosage by a similar fractional error, it could lead to underdosing (ineffective treatment) or overdosing (toxicity), highlighting the need for precision.

How to Approach the Question

First, identify the different operations in the expression: multiplication, addition, and subtraction within brackets.
Recall the order of operations: BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction) or PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction).
Step 1: Solve the expressions inside the brackets. Work on (2/6) × (18/10) and (9/5 - 4) separately.
Step 2: For the multiplication, simplify the fractions before multiplying to make the calculation easier.
Step 3: For the subtraction, convert the whole number to a fraction with a common denominator.
Step 4: Once both bracketed parts are solved, perform the final addition to get the answer.

Concept Tested & Keywords

Concept Tested: Order of Operations (BODMAS/PEMDAS) for expressions involving fractions.
Stem keywords: value, fraction, multiplication, addition, subtraction
Lead-in keywords: value of

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Practise the full RRB Nsg Superintendent -29 April 2025 (Shift-1st)

Attempt every question from this paper in a timed mock, then review the full solution for each one.