Question:
Select all expressions that are equal to 5/8.
- A. 1/8 + 1/8 + 1/8 + 1/8 + 1/8
- B. 2/4 + 3/4
- C. 1/8 + 2/8 + 3/8
- D. 4/8 + 1/8
- E. 4/7 + 1/1
Solution:
Let's review each option one by one.
Option A
- 1/8 + 1/8 + 1/8 + 1/8 + 1/8 = 5/8
- => (1 + 1 + 1 + 1 + 1)/8 = 5/8
- => (5)/8 = 5/8 (True)
Thus, Option A is correct.
Option B
- 2/4 + 3/4 = 5/8
- => (2 + 3)/4 = 5/8
- => 5/4 = 5/8 (False)
Thus, Option B is incorrect.
Option C
- 1/8 + 2/8 + 3/8 = 5/8
- => (1 + 2 + 3)/8 = 5/8
- => 6/8 = 5/8 (False)
Thus, Option C is incorrect.
Option D
- 4/8 + 1/8 = 5/8
- => (4 + 1)/8 = 5/8
- => 5/8 = 5/8 (True)
Thus, Option D is correct.
Option E
- 4/7 + 1/1 = 5/8
- => 4/7 + 7/7 = 5/8
- => (4 + 7)/7 = 5/8
- => 11/7 = 5/8 (False)
Thus, Option E is incorrect.
Final Answer(s):
- Option A and D are correct.