Question

Simplify $ 8 \times 45 \div 6 \;of\;3 - 12 $
a.$48 $
b.$18$
c.$5$
d.$1$

Answer 1

Hint: Here in this question we have to simplify the question whereas it includes more than one arithmetic operation. To solve this type of question we use the BODMAS rule, it is abbreviated as Brackets Of Division Multiplication Addition Subtraction. By applying the rule we obtain the result.

Complete step-by-step answer:
Generally, we have 4 types of arithmetic operations namely
Addition (+) which adds the numbers.
Subtraction (-) which subtracts the numbers.
Multiplication ( $ \times $ ) which multiply the numbers.
Division ( $ \div $ ) which divides the numbers.
To solve the above question, we follow the BODMAS rule and it is abbreviated as Brackets Of Division Multiplication Addition Subtraction. Here “of” signifies the operation multiplication. If we have “of” in the question we have to multiply.
Consider the given question, $ 8 \times 45 \div 6 \;of\;3 - 12 $
This can be rewritten as $ \Rightarrow 8 \times 45 \div 6 \times 3 - 12 $
Here we don’t have brackets so we move on to next. According to the rule we have use the operation division and hence it divides the number and hence we have
 $ \Rightarrow 8 \times \dfrac{{15}}{2} \times 3 - 12 $
We got the solution in the form of fraction.
By applying the rule now here we have to use the operation multiplication where it multiplies the number. Here we have to multiply 3 numbers and hence we obtain,
 $
   \Rightarrow 60 \times 3 - 12 \\
   \Rightarrow 180 - 12 \;
  $
Now we will subtract these two numbers by using subtraction operation and hence we have
 $ \Rightarrow 180 - 12 = 168 $
And by subtracting we obtain the result as 168.
So, the correct answer is “168”.

Note: Candidate must know about the arithmetic operations and tables of multiplication plays an important role in solving these types of questions. BODMAS rule is applied where the question involves more than one arithmetic operation. If we simplify randomically we don’t obtain the correct solution.