Question

Which of the following situations results in a sum of ? Select all that apply.

a) 1/2 + 1/2
b)1/3 + 2/3
c) 5/6 + 1/3
d) 3/4 + 1/4
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Answer 1

The scenarios a) 1/2 + 1/2, b) 1/3 + 2/3, and d) 3/4 + 1/4 all result in a sum of 1. Scenario c) 5/6 + 1/3 does not result in a sum of 1, as it is more than 1.

Step-by-step explanation:

The question is asking which of the given situations result in a sum of 1. We can evaluate each scenario as follows:

• a) 1/2 + 1/2: Adding two halves together will give you a whole, which is 1. So, this scenario applies.
• b) 1/3 + 2/3: Adding one third to two thirds gives you three thirds, which also makes a whole, or 1. Thus, this scenario applies as well.
• c) 5/6 + 1/3: To add these fractions, you would need a common denominator, which would be 6. With a common denominator, you convert 1/3 to 2/6, and then add it to 5/6 getting 7/6, which is more than 1. So, this scenario does not apply.
• d) 3/4 + 1/4: Adding three quarters to one quarter gives you four quarters, which is equivalent to 1. Hence, this scenario applies.

On summarizing, we have scenario a), b), and d) that result in a sum of 1.