How do you evaluate [(30 + 6) − 32] ÷ 9 * 2?

Dec 22, 2015

Question not definitively clear as to intention.
I got $\frac{2}{9} . \textcolor{w h i t e}{. .}$ Have a look at the method. Particularly at the end.

Explanation:

Given: $\left[\left(30 + 6\right) - 32\right] \div 9 \times 2$

Note that formatting star gives you $\cdot$
Formatting a full stop gives you $.$

So the original question ends with 9 times 2 and not 9 point 2

There are two interpretations as to what the question proposer was after.

Intention 1: $\left[\left(30 + 6\right) - 32\right] \div \left(9 \times 2\right)$

Intention 2: $\frac{\left(30 + 6\right) - 32}{9} \times 2$

$\textcolor{b l u e}{\text{Assumption: Intention 1 is the case.}}$

Write as

$\frac{30 + 6 - 32}{9 \times 2} = \frac{6 - 2}{9 \times 2} = \frac{4}{18}$

$\textcolor{b r o w n}{\text{Divide top and bottom by 2 giving}}$

$\frac{4 \div 2}{18 \div 2} = \frac{2}{9}$