Question 63

5 3/4 as a decimal rounded to the nearest tenth is 5.75.

To convert the mixed number 5 3/4 to a decimal, first convert the fraction 3/4 to its decimal equivalent, which is 0.75. Adding this to the whole number 5 gives 5.75.

A) 5.75

This option is correct as it accurately represents the decimal conversion of the mixed number 5 3/4. The conversion involves changing the fraction 3/4 to 0.75, resulting in 5 + 0.75 = 5.75.

B) 5.7

This option is incorrect because it represents a rounding of 5.75 to one decimal place, but does not accurately reflect the value of 5 3/4 itself. The correct rounding of 5.75 to the nearest tenth should yield 5.8 instead of 5.7.

C) 6

This option is incorrect as it does not represent the value of 5 3/4 in decimal form. 6 is greater than 5.75 and does not reflect the correct conversion of the mixed number.

D) 5.8

This option is incorrect because, while it is a possible rounding of 5.75, it is not the exact decimal representation of 5 3/4. The correct conversion yields 5.75, and rounding it to the nearest tenth results in 5.8, but this option does not provide the precise value.

Conclusion

5.75 is the definitive correct answer because it accurately reflects the conversion of the mixed number 5 3/4 into decimal form. Other options either misrepresent the value or incorrectly round it, demonstrating a misunderstanding of the conversion process.