# How do you simplify 6 ÷ (17 - 11) times 14 using order of operations?

Mar 3, 2018

See a solution process below:

#### Explanation:

First, execute the operation within the Parenthesis;

$6 \div \left(\textcolor{red}{17} - \textcolor{red}{11}\right) \times 14 \implies$

$6 \div 6 \times 14$

Next, execute the Multiplication and Division operations from left to right:

$\textcolor{red}{6} \div \textcolor{red}{6} \times 14 \implies$

$1 \times 14 \implies$

$14$

Mar 3, 2018

14 !!

#### Explanation:

It could be written as $\frac{6}{6} \cdot 14$= 1*14=14
Just use the BODMAS principle giving more preference to division than to multiplication.

Mar 3, 2018

14

#### Explanation:

Order of operations follows this order:
- P (Parentheses)
- E (Exponents)
- MD (Multiplication and Division - left to right)
- AS (Addition and Subtraction - left to right)
Or PEMDAS for short.

So when we see:
6÷(17−11)×14
We know do the Parentheses first. So lets solve the part inside the parentheses:
6÷(6) ×14
There aren't any Exponents in this equation, so we can skip that part. But there is multiplication and division! So we will solve the those parts (don't forget: Go left to right! )
6÷6 ×14
1 ×14
$14$