Question

Simplify the following mathematical expression.

$90\times 3+\left[120÷\left\{50-\left(15-5\right)\right\}\right]$

Answer 1

Step 1 : Simplify the inner most bracket first

$$\begin{gathered} =90\times 3+\left[120÷\left\{50-\left(15-5\right)\right\}\right] \\ =90\times 3+\left[120÷\left\{50-10\right\}\right] \end{gathered}$$ (Subtract $15$ and $5$)

Step 2 : Simplifying the curly braces by subtracting $50$ and $10$

$=90\times 3+\left[120÷40\right]$

Step 3 : Simplify the square brackets by dividing $120$ by $40$

$=90\times 3+3$

Step 4 : Multiply $90$ and $3$

$=270+3$

Step 5 : Add the remaining numbers

$=273$

Hence the result is $273$