# How do you simplify 12/(4(5-2))?

Dec 1, 2016

$1$

#### Explanation:

When evaluating an expression with $\textcolor{b l u e}{\text{mixed operations}}$ there is a particular order that must be followed.

Follow the order as set out in the acronym PEMDAS [Parenthesis(brackets), Exponents(powers), Multiplication, Division, Addition and Subtraction ]

Evaluate the denominator.

$4 \left(5 - 2\right) = 4 \times 3 = 12 \leftarrow \text{ bracket /multiplication}$

$\Rightarrow \frac{12}{12} = 1 \leftarrow \text{ division}$