What is 0.875 as a simplified fraction?

Correct Answer: A

Rationale: To convert 0.875 to a fraction, we write it as 875/1000. Then, simplify the fraction by dividing both the numerator and denominator by 125 to get 7/8, which is the simplest form of the fraction. Choice B (9/10), Choice C (5/6), and Choice D (3/4) are all incorrect because they do not represent the value of 0.875 when expressed as a fraction.

Correct Answer: D

Rationale: To convert milligrams to micrograms, you need to multiply by 1000 since 1 mg = 1000 mcg. Therefore, 0.075 mg equals 75 * 1000 = 750 mcg. The correct answer is 750 mcg. Choices A, B, and C are incorrect because they do not apply the correct conversion factor of 1000. It is essential to understand these conversions, especially in medical settings where accurate dosing is crucial to avoid errors and ensure patient safety.

Correct Answer: A

Rationale: To convert 0.125 to a fraction, we write it as 125/1000. Simplifying by dividing both the numerator and denominator by 125 gives us 1/8. Therefore, choice A (1/8) is the correct answer. Choice B (1/4) is incorrect as it represents 0.25, not 0.125. Choice C (1/2) is incorrect as it represents 0.5, not 0.125. Choice D (1/16) is incorrect as it represents 0.0625, not 0.125.

Correct Answer: A

Rationale: To convert kilograms to grams, you need to multiply by 1,000 since there are 1,000 grams in a kilogram. Therefore, 0.1 kg equals 100 grams. Choice B (10 g) is incorrect because it represents converting 0.01 kg to grams. Choice C (1 g) is incorrect as it reflects the conversion of 0.001 kg to grams. Choice D (0.1 g) is the value in grams equivalent to 0.01 kg, not 0.1 kg.

Correct Answer: A

Rationale: The decimal 0.004 can be represented as a ratio of 4/1000, which simplifies to 1/250, making the ratio 1:250. The correct answer is A. Choices B, C, and D are incorrect because they do not reflect the correct conversion of 0.004 into a simplified ratio. Choice B simplifies to 1:5, Choice C simplifies to 1:20, and Choice D simplifies to 9:20, none of which accurately represent the ratio of 0.004.