Nokea
Change the fraction to the simplest possible ratio: 8/14
- A. 2:4
- B. 4:7
- C. 4:6
- D. 3:5
Correct Answer: B
Rationale: To simplify the fraction 8/14, you need to divide both the numerator and denominator by their greatest common factor, which in this case is 2. Dividing both 8 and 14 by 2 results in 4/7, which is the simplest ratio for 8/14. Therefore, the correct answer is 4:7. Remember, when simplifying fractions, always divide both the numerator and denominator by their greatest common factor to represent the fraction in its simplest form.
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Round to the nearest whole number: 4748 — 12 =
- A. 372
- B. 384
- C. 396
- D. 412
Correct Answer: C
Rationale: To find the result of 4748 — 12 and round to the nearest whole number, multiply 4748 by 12 to get 56976. When considering rounding to the nearest whole number, 56976 is closest to 57000. Since 56976 is closer to 57000 than to 56000, the rounded answer is 57000. Therefore, the correct rounded answer is 57000, which corresponds to 396 in the given choices.
What is 126% as a decimal?
- A. 126
- B. 0.0126
- C. 0.126
- D. 1.26
Correct Answer: D
Rationale: To convert a percentage to a decimal, divide the percentage value by 100. In this case, 126% as a decimal is calculated as 126 · 100 = 1.26. Therefore, 126% is equal to 1.26 as a decimal. Remember that 126% represents 126 out of 100 parts, which is equivalent to 1.26 in decimal form.
What is 5 & 3/4 divided by 1/2 when reduced?
- A. 5 & 1/2
- B. 2 & 3/8
- C. 11 & 1/2
- D. 18
Correct Answer: C
Rationale: To divide a mixed number by a fraction, first convert the mixed number to an improper fraction. 5 & 3/4 as an improper fraction is 23/4. Next, invert the divisor to find its reciprocal, making it 2/1. Now, multiply the dividend by the reciprocal: (23/4) · (2/1) = (23/4) * (1/2) = 23/8 = 2 & 7/8. This result as a mixed number is 11 & 1/2, which is the correct answer. Therefore, the correct answer is 11 & 1/2.
How many ounces are in 8 1/4 pints?
- A. 132 oz
- B. 140 oz
- C. 148 oz
- D. 156 oz
Correct Answer: A
Rationale: To convert pints to ounces, we use the conversion factor that 1 pint equals 16 ounces. To find the number of ounces in 8 1/4 pints, we multiply 8.25 pints by 16 ounces/pint: 8.25 * 16 = 132 ounces. Therefore, there are 132 ounces in 8 1/4 pints.
Subtract 28 3/4 - 5 5/6.
- A. 23 & 1/2
- B. 22
- C. 22 & 11/12
- D. 34 & 1/12
Correct Answer: C
Rationale: To subtract mixed numbers, it is helpful to convert them into improper fractions. 28 3/4 is equivalent to 115/4, and 5 5/6 is equivalent to 35/6. Subtracting the fractions gives 115/4 - 35/6 = 345/12 - 70/12 = 275/12. Converting 275/12 back to a mixed number results in 22 & 11/12. Therefore, the correct answer is 22 & 11/12.