High School

Find the additive inverse of [tex]\frac{5}{6}[/tex] from the multiplicative inverse of [tex]\frac{4}{7}[/tex] and [tex]\frac{14}{15}[/tex].

Answer :

Final answer:

The additive inverse of 5/6 is -5/6. The multiplicative inverses of 4, 7, 14, and 15 are 1/4, 1/7, 1/14, and 1/15 respectively. These values have no relation to the additive inverse of 5/6.

Explanation:

The additive inverse of a number is a value which, when added to the number, results in zero. To start with, let's first find the multiplicative inverses of the numbers provided. The multiplicative inverse of a number is simply 1 divided by the number.

The multiplicative inverse of 4 is 1/4, for 7 it is 1/7, for 14 it is 1/14, and for 15 it is 1/15. None of these multiplicative inverses is related to the additive inverse of 5/6 which is -5/6. Therefore, the multiplicative inverses of 4, 7, 14, and 15 provided in the question have no bearing on the additive inverse of 5/6.

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