Which of the following is the fractional representation of the ratio below? 18:48

Rationale

The fractional representation of the ratio 18:48 is {3/8}.

To convert the ratio 18:48 into a fraction, both numbers can be simplified by their greatest common divisor, which is 6. Dividing both terms by 6 gives the simplified fraction of 3/8.

A ({1/4}) YOUR ANSWER

This fraction represents a ratio of 1 part to 4 parts, which is not equivalent to the original ratio of 18:48. Simplifying 18:48 results in 3:8, not 1:4, indicating this option does not accurately reflect the relationship between the two numbers.

B ({3/8}) CORRECT

This is the correct choice as it accurately reflects the simplified version of the ratio 18:48. When you divide both 18 and 48 by their greatest common divisor of 6, you obtain 3:8, which translates into the fraction 3/8.

C ({8/3}) YOUR ANSWER

This fraction indicates a ratio of 8 parts to 3 parts, which is the inverse of the original ratio. Instead of representing 18:48, it would imply a larger second term relative to the first, which does not match the given ratio.

D ({4/1}) YOUR ANSWER

This represents a ratio of 4 parts to 1 part, suggesting a much larger first term compared to the second. The original ratio of 18:48 simplifies to 3:8, not 4:1, making this option incorrect.

Conclusion

The conversion of the ratio 18:48 into a fractional representation reveals the correct answer as {3/8}. By simplifying the ratio through division by their common factor, we confirm that 3/8 accurately reflects the proportional relationship between the two numbers, while all other options fail to represent the original ratio correctly.

Which of the following is the fractional representation of the ratio below? 18:48

The fractional representation of the ratio 18:48 is {3/8}.

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