What is the algebraic expression for the word phrase “the quotient of 18 and 9 less than a”?

a) a-9/ 18

b) 9-a/ 18

c) 18/ a-9

d) 18/ 9-a

The answer to the question above is option D: 18/ 9-a. If we try to analyze the word phrase above, this is the algebraic expression that matches it. When we say quotient, this is the number or the result of the division between two numbers. So the quotient of 18 and 9, this means that the answer of 18 divided by 9. And then, less than a. Less than a here means subtraction or minus. Therefore, this makes -a. 

Iwill later remind me