Final answer:
This mathematical expression can be simplified and calculated using the BIDMAS rules of operations: brackets, indices, division and multiplication (from left to right), addition and subtraction (from left to right). Once calculated, the sum of the terms in the numerator is 1.875 and the sum in the denominator is 1.701. The solution to the expression will be 1.102 (rounded to 3 decimal places).
Step-by-step explanation:
To calculate this mathematical expression, the first thing you’ll need to do is apply the order of operations, or BIDMAS: Brackets, Indices, Division and Multiplication (from left to right), Addition and Subtraction (from left to right). However, as there are no brackets, you would treat this expression from left to right.
Using these, the calculation would break down as follows:
- First calculate 1.2 x 1.2, which equals 1.44
- Next calculate 1.2 x 0.3, which equals 0.36
- Then calculate 0.3 x 0.3, which equals 0.09
- Then calculate 0.09 / 1.2, which equals 0.075
- Next, calculate 1.2 x 1.2 x 1.2, which equals 1.728
- Finally, calculate 0.3 x 0.3 x 0.3, which equals 0.027
In the end, the sum becomes 1.44 + 0.36 + 0.075 in the numerator and 1.728 - 0.027 in the denominator.
Thus, the solution to the expression will be 1.875 / 1.701 = 1.102 (rounded to 3 decimal places).
Learn more about Order of Operations