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What is the best estimate for this sum 1/3+4/7

The sum will be close to 0
The sum will be close to 1/2
The sum will be close to 1

User Lanesha
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1 Answer

4 votes

Final answer:

The sum of 1/3 and 4/7 is greater than 1/2 but less than 1, therefore the best estimate for their sum is close to 1.

Step-by-step explanation:

When estimating the sum of 1/3 and 4/7, we can use intuitive reasoning to find the best estimate. Since 1/3 is less than 1/2 and 4/7 is more than 1/2 (since 3.5/7 would be exactly 1/2), when combined, these fractions are likely to add up to a value that is greater than 1/2 but less than 1. Specifically, since one-third is smaller than one-half, their sum must certainly be less than one whole, which can be understood using the logic that three thirds make a whole 'one'. Therefore, the sum of 1/3 and 4/7 will be close to but not equal to one.

User Renate
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