Express 0.7% in terms of fraction. & x20;

RRB Staff Nurse Kolkata-2015

Reasoning

Medium

Express 0.7% in terms of fraction.

Appeared in: RRB Staff Nurse Kolkata-2015

The term 'percent' (%) means 'out of one hundred'. Therefore, 0.7% is equivalent to 0.7 divided by 100.
To express this as a fraction with whole numbers, the decimal in the numerator must be removed. This is achieved by multiplying both the numerator and the denominator by 10, as there is one decimal place.
The calculation is (0.7 × 10) / (100 × 10), which simplifies to 7/1000.

Option A: This fraction is equivalent to 70%, not 0.7%. This error results from only considering the number 7 and its place value as tenths, ignoring the percentage sign.
Option B: This fraction is equivalent to 7%, not 0.7%. This common error occurs when the decimal is ignored, and 0.7% is incorrectly treated as 7%.
Option D: This fraction is equivalent to 0.07%. This error might arise from multiplying the denominator by an extra factor of 10 (i.e., by 100 instead of 10).

Visual 1: No visual aid is required for this type of mathematical calculation question.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Conversion of a decimal percentage into a fraction as background academic context rather than a clinical decision trigger.
Accurate calculation is a fundamental skill in nursing, especially for medication dosage. Errors in decimal placement can lead to significant under-dosing or over-dosing, posing a serious risk to patient safety.
For example, a 10-fold error (like confusing 7/100 with 7/1000) in a drug calculation could be fatal. Understanding percentages and fractions is crucial for interpreting medication orders and preparing correct doses.
What if the percentage was 7% instead of 0.7%? The fraction would be 7/100. A nurse must be able to distinguish between these values instantly to ensure correct medication administration.

How to Approach the Question

First, identify the core task: Convert a percentage to a fraction.
Recall the definition of 'percent' which means 'per hundred'. Write the initial fraction by placing the percentage value over 100 (i.e., 0.7/100).
Examine the numerator. If it is a decimal, you must convert it to a whole number.
To eliminate the decimal, multiply both the numerator and the denominator by a power of 10 that corresponds to the number of decimal places. For 0.7 (one decimal place), multiply by 10.
Perform the multiplication: (0.7 x 10) / (100 x 10) = 7/1000.
Finally, compare your result with the given options to find the correct answer.

Concept Tested & Keywords

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