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

Question

1808 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-06-17T18:03:24

See a solution process below:

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

Quotient means to divide. Therefore:

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

$4 \div 5$ $4 -: 5$ or $\frac{4}{5}$ $4/5$

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

$n = 5 + \frac{4}{5}$ $n = 5 + 4/5$

We can solve this as follows:

$n = 5 + \frac{4}{5}$ $n = 5 + 4/5$

$n = (\frac{5}{5} \times 5) + \frac{4}{5}$ $n = (5/5 xx 5) + 4/5$

$n = \frac{25}{5} + \frac{4}{5}$ $n = 25/5 + 4/5$

$n = \frac{25 + 4}{5}$ $n = (25 + 4)/5$

$n = \frac{29}{5}$ $n = 29/5$