63. Convert 5 3/4 to a decimal. Round to the nearest tenth.
Answer: A
5.75
To convert 5 3/4 to a decimal, first convert the fraction 3/4 into its decimal form, which is 0.75. Adding this to 5 gives a total of 5.75.
A) 5.75
This option is correct because it accurately represents the decimal conversion of the mixed number 5 3/4. The calculation is straightforward: 5 + 0.75 equals 5.75, which is the precise answer required.
B) 5.7
This option is incorrect because rounding 5.75 to the nearest tenth results in 5.8, not 5.7. While it is close, it does not reflect the correct rounding of the converted decimal.
C) 6
This option is incorrect as it overestimates the value of 5 3/4. The decimal conversion of 5.75 is well below 6, making this option incorrect when comparing values.
D) 5.8
This option is incorrect because, while 5.8 is the result of rounding 5.75 to the nearest tenth, the direct conversion of 5 3/4 results in 5.75, which is the answer sought before rounding.
Conclusion
The correct answer, 5.75, is derived directly from the conversion of the mixed number into its decimal form. Options B, C, and D do not represent the correct decimal conversion, with B misrepresenting the rounding and C and D being outright inaccuracies based on the original mixed number. Thus, option A stands as the definitive answer.