18. The hospital donates 0.075 of the money it makes in its gift shop to a local charity. Express this decimal as a fraction.
Answer: B
0.075 as a Fraction is 3/40
The decimal 0.075 can be expressed as the fraction 3/40. This conversion involves recognizing that 0.075 is equivalent to 75/1000, which simplifies to 3/40 when reduced to its lowest terms.
A) 3/4
This option is incorrect because 3/4 is equivalent to 0.75, which is significantly larger than 0.075. The values do not match, indicating a misunderstanding of the decimal's magnitude.
B) 3/40
This option is correct as 0.075 can be converted into a fraction. When written as 75/1000 and simplified, it reduces to 3/40, aligning perfectly with the decimal value presented in the question.
C) 3/400
This choice is incorrect because 3/400 equals 0.0075, which is much smaller than 0.075. The fraction does not accurately represent the decimal in question.
D) 3/4000
This option is also incorrect, as 3/4000 is equivalent to 0.00075, which is far less than the decimal 0.075. Thus, it does not reflect the correct value.
Conclusion
The correct answer, 3/40, accurately represents the decimal 0.075 when converted into fraction form. Other options, including 3/4, 3/400, and 3/4000, do not align with the decimal's value and are thus incorrect representations.