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Multiply: 1/2 x 1 3/5 x 2 7/9 =
- A. 3 11/16
- B. 2 2/9
- C. 2 21/90
- D. 20/9
Correct Answer: B
Rationale: To solve this multiplication problem, convert the mixed numbers to improper fractions: 1 3/5 = 8/5 and 2 7/9 = 25/9. Then multiply the fractions: (1/2) x (8/5) x (25/9) = 200/90, which simplifies to 20/9 or 2 2/9. Therefore, the correct answer is 2 2/9. Remember to multiply the numerators together and the denominators together when multiplying fractions.
You may also like to solve these questions
What is the result of dividing 0.6 by 0.12?
- A. 5
- B. 4
- C. 6
- D. 3
Correct Answer: A
Rationale: To divide 0.6 by 0.12, you can perform the operation as follows: 0.6 · 0.12 = 5. Therefore, the correct answer is 5, as the result of dividing these two numbers. When dividing decimals, you can move the decimal point to the right on both numbers until the divisor is a whole number, then divide as you would with whole numbers. In this case, you can multiply both 0.6 and 0.12 by 10 to make the divisor a whole number, resulting in 6 · 1 = 5.
How many pints are in 56 ounces?
- A. 4
- B. 3.5
- C. 3
- D. 5
Correct Answer: B
Rationale: To convert ounces to pints, you need to know that there are 16 ounces in a pint. To find out how many pints are in 56 ounces, you divide 56 by 16 (56 ounces · 16 ounces/pint), which equals 3.5 pints. Therefore, there are 3.5 pints in 56 ounces.
To ride a certain amusement park attraction, a person must be 48 inches tall. How many feet tall must a person be to meet this requirement? (Enter a numeric value only.)
- A. 4
- B. 5
- C. 6
- D. 3
Correct Answer: A
Rationale: To convert inches to feet, you need to divide by 12 because there are 12 inches in a foot. Therefore, 48 inches · 12 = 4 feet. Hence, the correct answer is A) 4 feet.
In a class of 25 students, 44% are boys. How many boys are there?
- A. 10 boys
- B. 11 boys
- C. 9 boys
- D. 13 boys
Correct Answer: B
Rationale: To find the number of boys in the class, we first calculate 44% of 25 students. 44% of 25 is 0.44 x 25 = 11 boys. Therefore, there are 11 boys in the class.
If a die is rolled, what is the probability of getting a 5?
- A. 50%
- B. 20%
- C. 16.67%
- D. 83.33%
Correct Answer: C
Rationale: When rolling a fair six-sided die, there are a total of 6 possible outcomes (numbers 1 to 6). The probability of rolling a 5 is 1 out of 6, as there is only one 5 on the die. To calculate the probability, you divide the number of favorable outcomes by the total number of outcomes. Therefore, the probability of rolling a 5 is 1/6 which equals 0.1667 or 16.67%.