Question

How do you write the expression for quotient of 4 and a number x increased by 6?

Answer 1

Without punctuation, the expression is ambiguous.

The quotient of 4, and a number increased by 6: `" "4/(x+6)`

The quotient of 4 and a number, increased by 6: `" "4/x +6`

Explanation:

This is a good example of how a lack of any punctuation make the meaning of the sentence ambiguous:

"Quotient" is the answer to a division.

The following are possible interpretations of the given expression.
Let the number be `x`

The quotient of 4, and `color(blue)("a number increased by 6")`:`" "4/color(blue)((x+6))`

The quotient of `color(red)("4 and a number")`, increased by 6: `" "color(red)(4/x) +6`

It is important to be able to write math which is given in English
in a mathematical form, keeping the meaning exactly the same.