If an American dollar is worth 5/8 of an English pound, what is the worth of an American quarter in terms of an English pound?

Rationale

An American quarter is worth 5/32 of an English pound.

Given that one American dollar is equivalent to 5/8 of an English pound, it follows that each quarter (1/4 of a dollar) would be worth 1/4 of 5/8, which simplifies to 5/32.

A (5/16) YOUR ANSWER

This is incorrect because it is a misunderstanding of the fraction calculation. The value of an American quarter in terms of English pounds is not 5/16. This would have been the case if an American dollar was worth 5/4 of an English pound.

B (5/48) YOUR ANSWER

This choice is also incorrect. It seems to result from an incorrect multiplication of the original ratio (5/8) with the value of a quarter (1/4), rather than the correct operation of division.

C (05/12) YOUR ANSWER

This choice is incorrect as it appears to incorrectly divide the 5/8 value by 4, rather than correctly multiplying it. This would suggest an American dollar is worth four times more in English pounds than it actually is.

D (5/32) CORRECT

This is the correct answer. If an American dollar is worth 5/8 of an English pound, then an American quarter (which is 1/4 of a dollar) would be worth 1/4 of that amount, which simplifies to 5/32 of an English pound.

Conclusion

The worth of an American quarter in terms of an English pound is 5/32, given that an American dollar is equivalent to 5/8 of an English pound. All other options result from incorrect mathematical operations on the given ratio and do not accurately represent the value of a quarter in terms of an English pound.

If an American dollar is worth 5/8 of an English pound, what is the worth of an American quarter in terms of an English pound?

An American quarter is worth 5/32 of an English pound.

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