# Question #a6a5f

Aug 21, 2017

$- 9.5$

#### Explanation:

Let's break down the instructions given to you by the problem.

You know that you're looking for a number that is

... ten less than...

This means that you will get to the number by subtracting $10$ from something. That is what ten less than means.

So, you must subtract $10$ from

...the quotient of number $3$ and $6$.

You can get the quotient of two numbers by dividing them. This means that in order to find the quotient of $3$ and $6$, you must divide $3$ by $6$.

$\frac{3}{6} \to$ the quotient of $3$ and $6$

Put all this together to get

$\frac{3}{6} - 10$

Your number is equal to $10$ less than the quotient of $3$ and $6$, which is equivalent to saying that you can get your number by subtracting $10$ from what you get by dividing $3$ and $6$.

Since you know that

$\frac{3}{6} = \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{3}}}}{2 \cdot \textcolor{red}{\cancel{\textcolor{b l a c k}{3}}}} = \frac{1}{2} = 0.5$

you can say that your number will be

$0.5 - 10 = - 9.5$