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Write the multiplicative inverse of \(-\frac{14}{15}\).

Answer :

Final answer:

The multiplicative inverse of a number is essentially the number that we can multiply it by to get 1. Therefore, for -14/15, its multiplicative inverse is -15/14, which confirms that it's indeed accurate when their multiplication equals 1.

Explanation:

The multiplicative inverse of a number is essentially the number we need to multiply it by to get a product of 1. Therefore, for the rational number -14/15, if we want to find its multiplicative inverse, we'll simply switch the numerator and the denominator and change the sign of the result. Hence, the multiplicative inverse of -14/15 is -15/14.

Let's confirm this by multiplying the given number (-14/15) by its multiplicative inverse (-15/14).

  • -14/15 * -15/14= 1

This validates that -15/14 is indeed the multiplicative inverse of -14/15.

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