Question 58

5 3/4 converts to 5.75 as a decimal.

To convert the mixed number 5 3/4 into a decimal, first, convert the fraction 3/4 to its decimal equivalent, which is 0.75. Adding this to the whole number 5 gives a total of 5.75, which is already rounded to the nearest tenth.

A) 5.75

This option is correct because it accurately represents the decimal equivalent of the mixed number 5 3/4. The fraction 3/4 is equal to 0.75, so when added to 5, the result is indeed 5.75.

B) 5.7

This option is incorrect as it represents a rounding down of 5.75 to one decimal place. The correct rounding of 5.75 to the nearest tenth yields 5.8, not 5.7.

C) 6

This option is incorrect because 6 is an overestimate of the value of 5 3/4. The proper conversion yields a decimal of 5.75, which is substantially less than 6.

D) 5.8

While this option seems close, it is incorrect as 5.75 rounds to 5.8 only when looking at the hundredths place, but since the task is to find the nearest tenth without rounding up, the precise value is 5.75.

Conclusion

The correct answer is 5.75, as it directly reflects the decimal conversion of 5 3/4. All other options fail to accurately represent this conversion or misinterpret the rounding process, thereby confirming that option A is the definitive choice.