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

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Answer 1 · 2017-06-17T18:03:24

See a solution process below:

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:

$n = 5 + 4/5$

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

$n = 25/5 + 4/5$

$n = (25 + 4)/5$

$n = 29/5$