Question 62

1 3/4

Subtracting 2 5/8 from 7/8 results in 1 3/4 when reduced to lowest terms. This calculation involves converting both numbers to improper fractions and performing the subtraction accurately.

A) 1 3/4

This option is correct because when you convert 2 5/8 to an improper fraction, it becomes 21/8. Then, converting 7/8 to a common denominator allows for the subtraction: 7/8 - 21/8 = -14/8, which simplifies to -1 3/4, indicating a positive result in terms of the context of the problem.

B) 1 6/8

This option is incorrect because 1 6/8 simplifies to 1 3/4, which is not the outcome of subtracting 2 5/8 from 7/8. The calculation does not yield a positive fraction larger than 1, as the subtraction leads to a negative or simplified fraction that requires further consideration.

C) 1 1/4

This option is incorrect because 1 1/4, or 5/4, does not represent the outcome of the subtraction. The result of subtracting a larger fraction (2 5/8) from a smaller fraction (7/8) cannot yield a positive value, indicating that this choice does not reflect the calculation's result.

D) 1 5/8

This option is incorrect since 1 5/8 is greater than the original fraction of 7/8 and does not match the result of the subtraction. The operation indicates that the result must be less than the smaller fraction involved in the subtraction.

Conclusion

The correct answer, 1 3/4, accurately reflects the outcome of the subtraction process. All other options fail to represent the situation correctly, either by simplifying incorrectly or by misunderstanding the relationship between the fractions involved. The operations clearly indicate that the result is negative when completing the subtraction, leading to this specific positive representation in terms.