What is 0.26 as a fraction in simplest form?
- A. 13/50
- B. 26/100
- C. 26/1000
- D. 1/4
Correct Answer: A
Rationale: To convert 0.26 to a fraction, we write it as 26/100. To simplify this fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 2 in this case. Dividing 26 and 100 by 2 results in 13/50. Therefore, 0.26 as a fraction in simplest form is 13/50. Choice B (26/100) is the original form of the decimal, not simplified. Choice C (26/1000) is incorrect as it doesn't match the decimal representation. Choice D (1/4) is not the equivalent fraction for 0.26.
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Convert 0.1 liter to milliliters. What is the equivalent volume?
- A. 1 ml
- B. 10 ml
- C. 100 ml
- D. 1000 ml
Correct Answer: C
Rationale: To convert liters to milliliters, you need to multiply the number of liters by 1,000 because there are 1,000 milliliters in a liter. Therefore, 0.1 liter is equal to 100 milliliters. Choice A (1 ml) is incorrect because it represents the conversion of 0.01 liters, not 0.1 liters. Choice B (10 ml) is incorrect as it also represents the conversion of 0.01 liters. Choice D (1000 ml) is incorrect as it represents the conversion of 1 liter, not 0.1 liter.
How many liters (L) are equal to 1 kiloliter?
- A. 100 liters
- B. 1,000 liters
- C. 10 liters
- D. 10,000 liters
Correct Answer: B
Rationale: To convert kiloliters to liters, you multiply by 1,000. Therefore, 1 kiloliter 1,000 = 1,000 liters. Choice A (100 liters) is incorrect because it represents only 1/10th of a kiloliter. Choice C (10 liters) is incorrect as it represents only 1/100th of a kiloliter. Choice D (10,000 liters) is incorrect as it is 10 times bigger than a kiloliter.
What is 0.3 as a fraction in simplest form?
- A. 3/10
- B. 1/3
- C. 1/4
- D. 1/5
Correct Answer: A
Rationale: To convert 0.3 to a fraction, we take 0.3 and express it as 3/10. This fraction is already in its simplest form because 3 and 10 do not have any common factors other than 1. Choice B, 1/3, is incorrect as it represents a different value. Choice C, 1/4, and Choice D, 1/5, are also incorrect as they do not match the equivalent fraction for 0.3.
What is 0.4 expressed in inches?
- A. 0.04 inches
- B. 4 inches
- C. 0.4 inches
- D. 40 inches
Correct Answer: C
Rationale: To express 0.4 in inches, you don't need to convert it further as it is already in inches. Therefore, the correct answer is 0.4 inches. Choice A (0.04 inches) is incorrect as it represents a smaller quantity. Choice B (4 inches) and Choice D (40 inches) are incorrect as they represent larger quantities, which are not equivalent to 0.4 inches.
What is 0.03 as a fraction?
- A. 3/100
- B. 1/30
- C. 1/3
- D. 1/10
Correct Answer: A
Rationale: To convert a decimal to a fraction, you place the decimal value over a power of 10, where the number of zeros in the denominator is equal to the number of decimal places in the decimal. In this case, 0.03 can be written as 3/100 because there are two decimal places (hundredths). This fraction is already in simplest form. Choice B, 1/30, is incorrect as it represents 0.033 as a fraction. Choice C, 1/3, is incorrect as it represents 0.3 as a fraction. Choice D, 1/10, is incorrect as it represents 0.1 as a fraction.