Question

the additive and multiplicative inverse of -2 3/5

Answer 1

The additive and multiplicative inverse of -2 3/5 are 2 3/5 and -5/13 respectively.

Additive inverse: The number that is added to a given number to make the sum zero is known as the additive inverse. The straightforward rule is to reverse the positive and negative numbers.

The given number is a proper fraction $-2 \frac{3}{5}$

Converting it to an improper fraction, we get, $-\frac{13}{5}$

Let the additive inverse be i

Then, i + -13/5 = 0

⇒ i = 13/5

⇒ i = 2 3/5

Multiplicative inverse: The number that is multiplied by a given number to produce the result 1, is the multiplicative inverse. To find the multiplicative inverse, the straightforward rule is to take into account the specified number's reciprocal.

The given number is a proper fraction $-2 \frac{3}{5}$

Converting it to an improper fraction, we get, $-\frac{13}{5}$

Let the multiplicative inverse be j

Then, j × -13/5 = 1

⇒ j = -5/13

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