Question 58

5.75

To convert 5 3/4 to a decimal, you first convert the fraction 3/4 into decimal form, which is 0.75. Adding this to 5 results in 5.75.

A) 5.75

This option is the correct conversion of 5 3/4 to decimal form. By converting 3/4 to 0.75 and adding it to 5, you arrive at 5.75, which is the accurate decimal representation.

B) 5.7

This option is incorrect because rounding 5.75 to the nearest tenth results in 5.8, not 5.7. Therefore, this option does not accurately reflect the conversion and rounding of 5 3/4.

C) 6

This option is also incorrect as it overshoots the actual value of 5.75. The correct rounding of 5.75 does not support this option, making it an inaccurate representation of the original number.

D) 5.8

While this option represents a rounded version of 5.75, it rounds up rather than maintaining the value of the decimal. The proper rounding to the nearest tenth for 5.75 should be 5.8, but the correct conversion itself is 5.75.

Conclusion

The conversion of 5 3/4 to decimal form is definitively 5.75. While rounding to the nearest tenth can lead to 5.8, the question specifically asks for the decimal conversion, which is accurately represented by option A. All other options either misrepresent the conversion or do not align with the proper rounding of the decimal value.