Questions: Find both the opposite, or additive inverse, and the reciprocal, or the multiplicative inverse, of the following number. -(-3/5) Type the opposite of -(-3/5).

Find both the opposite, or additive inverse, and the reciprocal, or the multiplicative inverse, of the following number.
-(-3/5)

Type the opposite of -(-3/5).

Transcript text: Find both the opposite, or additive inverse, and the reciprocal, or the multiplicative inverse, of the following number. \[ -\frac{3}{5} \] Type the opposite of $-\frac{3}{5}$.

Solution

Solution Steps

To find the opposite (additive inverse) of a number, you simply change its sign. For the reciprocal (multiplicative inverse), you flip the numerator and the denominator of the fraction.

Step 1: Identify the Given Number

The given number is $-\frac{3}{5}$.

Step 2: Find the Opposite (Additive Inverse)

To find the opposite of $-\frac{3}{5}$, change its sign: \[ -\left(-\frac{3}{5}\right) = \frac{3}{5} \]

Step 3: Find the Reciprocal (Multiplicative Inverse)

To find the reciprocal of $-\frac{3}{5}$, flip the numerator and the denominator: \[ \frac{1}{-\frac{3}{5}} = -\frac{5}{3} \]