Problema Solution

translate the following phrase into algebraic expression

the quotient of a number less seven and twenty

Answer provided by our tutors

"Quotient" means the result of division (in the same way that "sum" means the result of addition) so we know we're going to write a fraction.


One part of the fraction is a number less seven, which is better phrased as a number minus seven. The other part of the fraction is twenty.


( N - 7 ) / 20


Hand-written, that's better represented by "N - 7" centered above a horizontal fraction line, and "20" centered below. Typed, the parentheses make the difference between this and the expression spoken as "seven-twentieths less than a number".