# What is the opposite and reciprocal of 3 3/5?

Jul 8, 2015

Number + opposite=0
Number x reciprocal =1

#### Explanation:

Opposite :
Change the sign: so the opposite is $- 3 \frac{3}{5}$

Because $3 \frac{3}{5} + \left(- 3 \frac{3}{5}\right) = 3 \frac{3}{5} - 3 \frac{3}{5} = 0$

Reciprocal :
We first want to change this in a non-mixed fraction, before we can switch numerator and denominator:

$3 \frac{3}{5} = \frac{18}{5}$ so the reciprocal is $\frac{5}{18}$

Because $\frac{\cancel{18}}{\cancel{5}} \times \frac{\cancel{5}}{\cancel{18}} = 1$