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If 50% of a quantity s is represented as a fraction, what is it?
- a)25/100 × s
- b)1/2 × s
- c)3/4 × s
- d)1/4 × s
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If 50% of a quantity s is represented as a fraction, what is it?a)25/1...
Write 50% as a fraction: 50% = 50/100 = 1/2.
So 50% of s = (1/2) × s = s/2.
Therefore the correct choice is option B.
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If 50% of a quantity s is represented as a fraction, what is it?a)25/1...
Understanding 50% of a Quantity
To determine what 50% of a quantity 's' is when represented as a fraction, we first need to know what percentage means.
Percentage Basics
- Percentage represents a fraction out of 100.
- Thus, 50% can be expressed as 50/100.
Fraction Representation
- To convert 50% into a simpler fraction, we can simplify 50/100.
- Dividing the numerator and the denominator by their greatest common divisor (which is 50), we get:
- 50 ÷ 50 = 1
- 100 ÷ 50 = 2
- Therefore, 50/100 simplifies to 1/2.
Relating to the Quantity 's'
- Now, to find 50% of 's', we multiply 's' by the fraction 1/2:
- 50% of s = 1/2 × s
Evaluating the Options
Now, let's evaluate the options provided:
- a) 25/100 × s = 1/4 × s (not correct)
- b) 1/2 × s (correct)
- c) 3/4 × s (not correct)
- d) 1/4 × s (not correct)
Conclusion
- The correct representation of 50% of the quantity 's' is indeed option 'B': 1/2 × s. This shows that 50% of 's' is half of the quantity.
To determine what 50% of a quantity 's' is when represented as a fraction, we first need to know what percentage means.
Percentage Basics
- Percentage represents a fraction out of 100.
- Thus, 50% can be expressed as 50/100.
Fraction Representation
- To convert 50% into a simpler fraction, we can simplify 50/100.
- Dividing the numerator and the denominator by their greatest common divisor (which is 50), we get:
- 50 ÷ 50 = 1
- 100 ÷ 50 = 2
- Therefore, 50/100 simplifies to 1/2.
Relating to the Quantity 's'
- Now, to find 50% of 's', we multiply 's' by the fraction 1/2:
- 50% of s = 1/2 × s
Evaluating the Options
Now, let's evaluate the options provided:
- a) 25/100 × s = 1/4 × s (not correct)
- b) 1/2 × s (correct)
- c) 3/4 × s (not correct)
- d) 1/4 × s (not correct)
Conclusion
- The correct representation of 50% of the quantity 's' is indeed option 'B': 1/2 × s. This shows that 50% of 's' is half of the quantity.
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