Convert 5 3/4 to a decimal. Round to the nearest tenth.

Rationale

5 3/4 converts to 5.75 as a decimal.

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

A (5.75) CORRECT

This choice is accurate as it correctly represents the decimal conversion of the mixed number 5 3/4. The fraction 3/4 equals 0.75, and when added to 5, results in 5.75, formatted correctly for the answer.

B (5.7) YOUR ANSWER

While 5.7 is a rounded version of 5.75, it is not correct for this question as it is not the precise conversion from the mixed number. Rounding to the nearest tenth should result in 5.8 if the number were 5.75, making 5.7 an incorrect representation of the original mixed number.

C (6) YOUR ANSWER

This choice incorrectly suggests that the mixed number rounds up to 6. The decimal equivalent is 5.75, which is not close enough to round up to 6 when considering rounding to the nearest tenth. Thus, this answer is false.

D (5.8) YOUR ANSWER

Although 5.8 is a rounded version of 5.75, it is not correct when asked to round to the nearest tenth. 5.75, when rounded, would be considered closer to 5.8, but it is important to note that the correct decimal conversion itself is 5.75.

Conclusion

Converting the mixed number 5 3/4 to a decimal yields 5.75, which accurately reflects the sum of the whole number and the decimal equivalent of the fraction. While some options may represent rounded figures, only 5.75 correctly conveys the precise conversion. The rounding considerations demonstrate the importance of understanding both exact values and their approximations.

Convert 5 3/4 to a decimal. Round to the nearest tenth.

5 3/4 converts to 5.75 as a decimal.

Related Questions

Related Quizzes

How familiar were you with this question?

Report an Issue

Rate this Practice Test