The hospital donates 0.075 of the money it makes in its gift shop to a local charity. Express this decimal as a fraction.

Rationale

Mar-40 is the fraction equivalent of the decimal 0.075.

To convert a decimal to a fraction, you place the decimal number over its place value. In this case, 0.075 is in the thousandths place, so it is placed over 1000. Simplifying this fraction gives 75/1000, and further simplification gives 3/40.

A (3/4) YOUR ANSWER

The fraction 3/4 is equivalent to the decimal 0.75, not 0.075. The decimal 0.75 is ten times greater than 0.075, thus, this choice is incorrect.

B (3/40) CORRECT

The fraction 3/40 is the simplified form of 75/1000, which is the direct conversion of the decimal 0.075. Therefore, this choice is correct.

C (3/400) YOUR ANSWER

The fraction 3/400 equates to the decimal 0.0075, not 0.075. This decimal is ten times smaller than 0.075, making this choice incorrect.

D (3/4000) YOUR ANSWER

The fraction 3/00 is undefined because division by zero is undefined in mathematics. Therefore, this choice is incorrect.

Conclusion

To convert a decimal to a fraction, the decimal is placed over its place value and then simplified. The decimal 0.075 is in the thousandths place, and when placed over 1000 and simplified, it becomes 3/40. The fractions 3/4 and 3/400 are ten times greater and smaller than 0.075 respectively, making them incorrect, and the fraction 3/00 is undefined, also making it incorrect. Therefore, the correct fraction equivalent of 0.075 is 3/40.

The hospital donates 0.075 of the money it makes in its gift shop to a local charity. Express this decimal as a fraction.

Mar-40 is the fraction equivalent of the decimal 0.075.

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