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

Rationale

5 3/4 converts to 5.75 when expressed as a decimal.

To convert the mixed number 5 3/4 to a decimal, you first convert the fraction 3/4 to its decimal equivalent, which is 0.75. By adding this to 5, you arrive at the decimal value of 5.75. Rounding to the nearest tenth, this value remains 5.8, but the exact conversion without rounding is 5.75.

A (5.75) CORRECT

This choice represents the precise decimal conversion of the mixed number 5 3/4. By converting the fraction 3/4 to its decimal form, you obtain 0.75, which, when added to 5, yields 5.75. This answer is accurate and fits the requirement of expressing the mixed number as a decimal.

B (5.7) YOUR ANSWER

While 5.7 might appear to be a rounded version of the decimal, it underestimates the value of 5 3/4. When rounding to the nearest tenth, 5.75 rounds up to 5.8. Thus, 5.7 does not accurately represent the decimal conversion of the mixed number.

C (6) YOUR ANSWER

This choice inaccurately suggests that 5 3/4 rounds up to the next whole number. The value of 5.75 is less than 6, and thus this response is incorrect in terms of both conversion and rounding.

D (5.8) YOUR ANSWER

Although this choice represents the correct value when rounding 5.75 to the nearest tenth, it does not reflect the exact decimal conversion of 5 3/4. The question specifically asks for the decimal form without rounding, making this choice incorrect in that context.

Conclusion

The mixed number 5 3/4 correctly converts to the decimal 5.75, which is the exact representation without rounding. While rounding this value leads to 5.8, the question specifically seeks the decimal form, making 5.75 the accurate choice. The other options either misrepresent the conversion or provide incorrect rounding interpretations.

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

5 3/4 converts to 5.75 when expressed as a decimal.

Related Questions

Related Quizzes

How familiar were you with this question?

Report an Issue

Rate this Practice Test