Respuesta :
From the statement "the quotient of the sum and product of three numbers" we have to formulate an algebraic expression, the first operation we are told about is a "quotient", a quotient is a division, we can represent the quotient of two numbers a and b, like this:
[tex]\frac{a}{b}[/tex]The next operation we are told about is a "sum" between three numbers, by calling x, y and z to the three numbers, we can formulate their sum like this:
x + y + z
By replacing the sum of the three numbers for a into the quotient we get:
[tex]\frac{x+y+z}{b}[/tex]The last operation is a "product", that is multiplication and it is performed between the same three numbers x, y and z, we can formulate the product of these numbers to get:
x×y×z
By replacing x×y×z for b into the quotient, we get:
[tex]\frac{x+y+z}{x\times y\times z}[/tex]Then, we can express the the quotient of the sum and product of three numbers x, y z like this:
[tex]\frac{x+y+z}{xyz}[/tex]