Question

Simplify: $27.888\times 0.0024÷(1.28\times 0.63)$

Answer 1

Here, we use the concept of simplifying the expressions by opening brackets one by one and then using ‘BODMAS’.

Following are the steps to be followed:

1. There are four types of brackets. The order of simplifying brackets is: (1) Bar or vinculum $\overline{}$(2) Small brackets ( ) (3) Curly brackets { } (4) Square brackets [ ].
2. After removing the brackets, simplification is to be done in the order of the letters of the word ‘BODMAS’. Here B, O, D, M, A, S stands for Brackets, Of, Division, Multiplication, Addition and Subtraction respectively.

We have,

$27.888\times 0.0024÷(1.28\times 0.63)$

$$\begin{gathered} =27.888\times 0.0024÷0.8064[Simplifyingsmallbrackets] \\ =27.888\times 0.0029761904761905\left[\mathrm{Dividing}\right] \\ =0.083\left[\mathrm{Multiplying}\right] \end{gathered}$$

Hence, on simplifying $27.888\times 0.0024÷(1.28\times 0.63)$ we get $0.083$.