35/6 converts into decimal?

Appeared in: SGPGI Nursing Officer-2022

Explanation

To convert a fraction to a decimal, the numerator is divided by the denominator.
Dividing 35 by 6 results in a whole number of 5 with a remainder of 5.
The remainder (5) is then divided by the denominator (6), which gives a repeating decimal of 0.8333...
Combining the whole number and the decimal part gives the final answer: 5 + 0.8333... = 5.8333...

Option B: This value is greater than 7. Since 35/6 is less than 42/6 (which equals 7), the answer must be less than 7. In fact, it must be less than 6.
Option C: This value is greater than 6. Since 36/6 equals 6, 35/6 must be a value less than 6.
Option D: While the whole number part (5) is correct, the decimal part is inaccurate. The calculation for 5/6 results in 0.8333..., not 0.8222.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Converting an improper fraction to a repeating decimal as background academic context rather than a clinical decision trigger.
This question tests basic numeracy, a critical skill for nurses in daily practice.
Nurses use mathematical calculations for medication dosage, IV drip rate adjustments, fluid balance charting, and interpreting patient data, where accuracy is vital for patient safety.
What if? If the fraction was 35/5, the answer would be exactly 7, a whole number, because 35 is a direct multiple of 5. This results in a terminating decimal (7.0).

How to Approach the Question

First, identify the core task: convert the fraction 35/6 into its decimal form.
Begin by performing the division: divide the numerator (35) by the denominator (6).
Determine the whole number part of the answer. 35 divided by 6 is 5, with a remainder.
Use the remainder to calculate the decimal part. The remainder is 5 (35 - (6*5) = 5).
Continue the division by placing a decimal point and adding zeros to the remainder (e.g., 5.0, 5.00). Divide 50 by 6 to get 8, then 20 by 6 to get 3, and notice the repeating pattern.
Combine the whole number and the calculated decimal (5.833...) and select the matching option.

Concept Tested & Keywords

QJF489w_a0rAt36cgGCdmg

Practise the full SGPGI Nursing Officer-2022

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