Question

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

Answer 1

`1/2 + 3/2`

Explanation:

The reciprocal of any number say , n ,is `1/n`

example : the reciprocal of 2 `color(black)(" is ") 1/2`

here the reciprocal of `2/3color(black)(" is ") 1/(2/3) = 1 xx 3/2 = 3/2`

hence `1/2 + 3/2 ( = 2 )`