1. Which of the following pairs of fractions is equivalent to 5/6 and 7/8?
A. 20/48 and 42/48
B. 10/12 and 14/12
C. 20/24 and 21/24 Correct
D. 10/16 and 14/16
Explanation
To find equivalent fractions, simplify each pair and compare to 5/6 (0.833) and 7/8 (0.875). Step 1: Simplify Option A: 20/48 = 5/12 (0.417), 42/48 = 7/8 (0.875) - not matching. Step 2: Simplify Option B: 10/12 = 5/6 (0.833), 14/12 = 7/6 (1.167) - not matching. Step 3: Simplify Option C: 20/24 = 5/6 (0.833), 21/24 = 7/8 (0.875) - matching. Step 4: Simplify Option D: 10/16 = 5/8 (0.625), 14/16 = 7/8 (0.875) - not matching. Thus, C is correct.
2. Which of the following pairs of fractions is equivalent?
A. 5/9 and 45/72
B. 4/5 and 7/4
C. 2/3 and 10/15 Correct
D. 3/8 and 8/13
Explanation
To check equivalence, simplify each pair to see if they are equal. Step 1: Option A: 5/9 = 0.556, 45/72 = 5/8 = 0.625 - not equal. Step 2: Option B: 4/5 = 0.8, 7/4 = 1.75 - not equal. Step 3: Option C: 2/3 = 0.667, 10/15 = 2/3 = 0.667 - equal. Step 4: Option D: 3/8 = 0.375, 8/13 = 0.615 - not equal. Thus, C is correct.
3. A jar contains 6 red marbles, 4 blue marbles, and 10 green marbles. If a marble is selected at random from the jar, which of the following is the probability that it is not red?
A. {3/10}
B. {7/10} Correct
C. {1/5}
D. {1/2}
Explanation
Step 1: Calculate total marbles: 6 + 4 + 10 = 20. Step 2: Find non-red marbles: 20 - 6 = 14. Step 3: Probability = 14/20 = 7/10. Thus, B is correct.
4. Four friends are sharing a pizza. One friend eats half of the pizza. The other three friends equally divide the rest among themselves. What portion of the pizza did each of the other three friends receive?
A. {1/3}
B. {1/5}
C. {1/6} Correct
D. {1/4}
Explanation
Step 1: One friend eats 1/2, leaving 1/2 of the pizza. Step 2: The remaining 1/2 is divided equally among three friends: (1/2)* 3 = 1/6 each. Step 3: Verify options; 1/6 matches. Thus, C is correct.
5. A garden has four sides. Three sides measure 5.5 meters each, and one side measures 8.2 meters. Which of the following is the perimeter of the garden?
A. 16.5 meters
B. 24.7 meters Correct
C. 13.7 meters
D. 27.4 meters
Explanation
Step 1: Perimeter = sum of sides = 5.5 + 5.5 + 5.5 + 8.2. Step 2: Calculate 5.5 * 3 = 16.5. Step 3: Add 16.5 + 8.2 = 24.7 meters. Thus, B is correct.