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.
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Ratio and Proportion: 9 : X :: 5 : 300 (Enter numeric value only.)
- A. 450
- B. 540
- C. 600
- D. 480
Correct Answer: B
Rationale: To find the value of X in the proportion 9 : X :: 5 : 300, we can set up the equation (9/X) = (5/300) and cross-multiply. This gives us 9 * 300 = 5 * X. Simplifying further, we get X = (9 * 300) / 5 = 540. Therefore, the correct answer is 540, which is option B.
What temperature in Fahrenheit is 50 degrees Celsius? (Enter a numeric value only. If rounding is necessary, round to the nearest whole number.)
- A. 150°F
- B. 122°F
- C. 120°F
- D. 145°F
Correct Answer: B
Rationale: To convert Celsius to Fahrenheit, use the formula: F = (C — 9/5) + 32. Substituting C = 50 into the formula, we get F = (50 — 9/5) + 32 = 90 + 32 = 122°F. Therefore, 50 degrees Celsius is equivalent to 122 degrees Fahrenheit. The correct answer is B, 122°F.
How many ounces are in 8 1/4 pints?
- A. 128 oz
- B. 2.25 oz
- C. 132 oz
- D. 136 oz
Correct Answer: C
Rationale: To convert pints to ounces, remember that 1 pint equals 16 fluid ounces. Therefore, 8 pints would be 8 x 16 = 128 ounces. Adding 1/4 pint (4 ounces) to 128 gives a total of 132 ounces in 8 1/4 pints. To calculate the total ounces, you add the ounces equivalent of the whole number of pints (8 pints = 8 x 16 = 128 ounces) to the ounces of the additional 1/4 pint, which is 4 ounces. Thus, 128 + 4 = 132 ounces in total for 8 1/4 pints.
Report all decimal places: 3.7 + 7.289 + 4 = ?
- A. 15.989
- B. 5.226
- C. 15
- D. 15.07
Correct Answer: A
Rationale: To solve this calculation, add the numbers together: 3.7 + 7.289 + 4 = 15.989. Therefore, the correct answer is A. When adding decimal numbers, it is crucial to maintain the decimal places throughout the calculation to ensure accuracy and report the sum with all decimal places intact. In this case, the sum should be reported as 15.989 to preserve the precision of the original numbers. Remember, when working with decimals, it is essential to pay attention to the decimal places to prevent rounding errors and accurately represent the sum of the numbers involved.
What is the result of adding: 6 3/4 + 8 1/6 = ?
- A. 14 & 11/12
- B. 12 & 3/24
- C. 35/6
- D. 14 & 2/5
Correct Answer: A
Rationale: To add the mixed numbers 6 3/4 and 8 1/6, first convert them to improper fractions. 6 3/4 becomes 27/4, and 8 1/6 becomes 49/6. When you add these fractions, you get 76/6, which simplifies to 12 & 2/3. Converting 12 & 2/3 back to a mixed number gives 14 & 11/12. Therefore, the correct sum of 6 3/4 + 8 1/6 is 14 & 11/12.
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