Question

What is the opposite and reciprocal of $3\dfrac{3}{5}$ ?

Answer 1

Hint: When the opposite of a number is asked it means we have to find its additive inverse. The additive inverse of a number is the number in addition to which the given number becomes $0$. To get the additive inverse of any number we have to put a negative sign on it Or if the number itself is of negative sign then put a positive sign (basically the opposite sign to the one given in the number).


Complete step-by-step solution:
The multiplicative inverse is also called the reciprocal of a number. The multiplicative inverse of a number is the number on multiplication by which the given number becomes$1$. So since we have to find the reciprocal what we would do is interchange the numerator and denominator of the above given fraction after solving it. The fraction given above is a mixed fraction. First we will solve that and then find the value opposite to the given number and its reciprocal.

We have to find the additive inverse and the multiplicative inverse. The number of solving becomes
$3\dfrac{3}{5} \to \dfrac{{15 + 3}}{5}$
$\dfrac{{18}}{5}$
The additive inverse of the given number is $ - \dfrac{{18}}{5}$. The given number is also called the opposite of the given fraction.
The multiplicative inverse or the reciprocal of the number is
$\dfrac{5}{{18}}$
Thus we have found both the opposite and the reciprocal of the given number.

Note: The reciprocal of a number is also called as the multiplicative inverse of the number , sometimes only one of the words is mentioned so the information is useful in that case.