# How do you write the phrase "the sum of one-half and the reciprocal of two-thirds" as a mathematical expression?

Feb 7, 2016

$\frac{1}{2} + \frac{3}{2}$

#### Explanation:

The reciprocal of any number say , n ,is $\frac{1}{n}$

example : the reciprocal of 2 $\textcolor{b l a c k}{\text{ is }} \frac{1}{2}$

here the reciprocal of $\frac{2}{3} \textcolor{b l a c k}{\text{ is }} \frac{1}{\frac{2}{3}} = 1 \times \frac{3}{2} = \frac{3}{2}$

hence $\frac{1}{2} + \frac{3}{2} \left(= 2\right)$