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What is the result of dividing 1/9 by 2/3?
- A. 1/6
- B. 3/18
- C. 1/3
- D. 2/3
Correct Answer: A
Rationale: When dividing fractions, you multiply the first fraction by the reciprocal of the second fraction. In this case, 1/9 · 2/3 can be rewritten as 1/9 x 3/2 = 3/18 = 1/6. Therefore, the correct answer is A, 1/6. Remember, 'invert and multiply' is the rule to follow when dividing fractions.
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Round to the tenths place: What is 6.4% of 32?
- A. 1.8
- B. 2.1
- C. 2.6
- D. 2
Correct Answer: D
Rationale: To find 6.4% of 32, first convert 6.4% to a decimal by dividing by 100: 6.4/100 = 0.064. Next, multiply 0.064 by 32: 0.064 * 32 = 2.048. Rounding to the tenths place, 2.048 rounds down to 2. Therefore, the correct answer is 2, making choice D the correct option.
A newborn weighs 3,459 grams. There are 453.59 grams per pound. What is the infant's weight in pounds and ounces?
- A. 7lbs 10oz.
- B. 10lbs 7oz.
- C. 13lbs 3oz.
- D. 3lbs 13oz.
Correct Answer: A
Rationale: To convert the baby's weight from grams to pounds and ounces, divide the weight in grams by the number of grams in a pound (453.59). 3,459 grams · 453.59 grams per pound = 7.62 pounds. Since there are 16 ounces in a pound, multiply the decimal part (0.62) by 16 to get the additional ounces. 0.62 x 16 = 9.92, which rounds up to 10 ounces. Therefore, the infant's weight is 7 pounds and 10 ounces (7lbs 10oz).
Solve for x: 7:42 :: 4:x
- A. 12
- B. 48
- C. 24
- D. 16
Correct Answer: C
Rationale: To solve the analogy 7:42 :: 4:x, we first simplify the ratio 7:42 to 1:6 by dividing both numbers by 7. Maintaining the same simplification, we apply it to 4:x, resulting in 4:24. Therefore, x = 24, making choice C the correct answer as it completes the analogy.
Divide: 4 2/3 · 2 3/4 =
- A. 1 23/33
- B. 2 8/9
- C. 3 21/3
- D. 4 23/4
Correct Answer: A
Rationale: To divide mixed numbers, convert them to improper fractions. For 4 2/3, the improper fraction is 14/3, and for 2 3/4, it is 11/4. When dividing 14/3 by 11/4, you get 154/33, which simplifies to 4 22/33 or 1 22/33. Therefore, the correct answer is 1 23/33, which is represented in mixed number form as 1 23/33.
Convert 1/5 to a decimal.
- A. 0.5
- B. 1.5
- C. 0.15
- D. 0.2
Correct Answer: D
Rationale: To convert a fraction to a decimal, divide the numerator by the denominator. For 1/5, you calculate 1 · 5 = 0.2. Therefore, the decimal equivalent of 1/5 is 0.2. It is important to note that when the numerator is smaller than the denominator, the resulting decimal value will be less than 1.