How do you define a variable and write an expression for each phrase: 5 increased by the quotient of 4 and 5?

1 Answer
Jun 17, 2017

See a solution process below:

Explanation:

First, let's call the result we are looking for as #n#:

Quotient means to divide. Therefore:

"the quotient of 4 and 5" can be written as:

#4 -: 5# or #4/5#

We can now add this to "5 increased by" which means to add:

#n = 5 + 4/5#

We can solve this as follows:

#n = 5 + 4/5#

#n = (5/5 xx 5) + 4/5#

#n = 25/5 + 4/5#

#n = (25 + 4)/5#

#n = 29/5#