High School

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Is [tex]\frac{14}{15}[/tex] closer to 1 or [tex]\frac{1}{2}[/tex]?

Answer :

Final answer:

14/15 is much closer to 1 than to 1/2, as it is only 1/15 less than a whole, which is significantly more than half.

Explanation:

The student's question about whether 14/15 is closer to 1 or 1/2 is a question of comparing fractions to benchmarks like one half and one whole.

To determine this, we can compare 14/15 to each benchmark. Half of 15 is 7.5, so 14/15 is clearly much larger than 1/2 as it's almost the entire whole minus 1/15. To be precise, since 15/15 is equivalent to 1, and 14/15 is only 1/15 less than that, it is much closer to 1 than to 1/2.

Understanding fractions in relation to standard benchmarks is a fundamental math skill. In this case, recognizing that 14/15 is just one part away from the whole illustrates that 14/15 is significantly closer to 1 than to 1/2.

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