27. Which of the following is the fractional representation of the ratio below? 18:48
Answer: B
The fractional representation of the ratio 18:48 is 3/8.
To convert the ratio 18:48 into a fractional representation, we simplify it by dividing both parts of the ratio by their greatest common divisor, which is 6. This results in the fraction 3/8.
A) {1/4}
The option 1/4 is incorrect because simplifying the ratio 18:48 gives a value of 3/8, not 1/4. The two values do not represent the same proportion when compared.
B) {3/8}
This option is correct as it accurately represents the simplified ratio of 18:48. When both numbers are divided by their greatest common divisor of 6, the result is 3/8, which is the correct fractional representation.
C) {8/3}
The option 8/3 is incorrect as it represents a value greater than 2, which does not correspond to the simplified form of the ratio 18:48. The correct simplification yields a fraction less than 1, thereby ruling out this option.
D) {4/1}
The option 4/1 is incorrect because it implies a ratio that is not equivalent to 18:48. This fraction simplifies to 4, which does not reflect the original ratio's value of less than 1.
Conclusion
The option B) {3/8} is definitively the correct answer as it represents the accurate fractional simplification of the ratio 18:48. All other options fail to represent the correct proportion derived from the original ratio, confirming that B is the only valid choice.