# How do you simplify 2+4xx3+1/2 using PEMDAS?

Aug 12, 2017

$14 \frac{1}{2} = \frac{29}{2}$

#### Explanation:

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

$\text{using the order as set out in the acronym PEMDAS}$

[P-parenthesis (brackets), E-exponents (powers), M-multiplication, D-division, A-addition, S-subtraction]

$2 + 12 + \frac{1}{2} \leftarrow \textcolor{red}{\text{ multiplication}}$

$\text{now add the numbers from left to right}$

$= 14 \frac{1}{2} = \frac{29}{2} \leftarrow \textcolor{red}{\text{ addition}}$

Aug 12, 2017

$14 \frac{1}{2}$

#### Explanation:

When working with expressions with different operations, the most important step is to count the NUMBER of TERMS FIRST.

Terms are separated by $+ \mathmr{and} -$ signs.

Simplify each term to a single answer which will be added or subtracted in the last step.

Within each term, do operations in the order:

• Brackets first
• powers and roots
• multiplication and division

$\textcolor{b l u e}{2} \textcolor{red}{+ 4 \times 3} \textcolor{g r e e n}{+ \frac{1}{2}} \text{ } \leftarrow$ there are $3$ terms

$= \textcolor{b l u e}{2} \textcolor{red}{+ 12} \textcolor{g r e e n}{+ \frac{1}{2}}$

$= 14 \frac{1}{2}$