Question

What is $${\displaystyle \frac{5}{8}}$$ of 24?

Answer 1

Hint:In order to solve this question first, we assume a variable equal to the final answer of the expression. Then we replace it with a multiplication sign place of “of”. And then we cancel the factor of 8 from the numerator and denominator then we multiply the final answer. That is the value of the variable that we assumed earlier.


Complete step by step answer:
We have given $${\displaystyle \frac{5}{8}}$$ of 24.
First, we assume the value as a variable equal to this value.
Let, $$x={\displaystyle \frac{5}{8}}of24$$
Now we use the BODMAS rule to simplify this.
According to the BODMAS rule first, we eliminate “of” and replace that with a multiplication sign.
$$x={\displaystyle \frac{5}{8}}\times 24$$
Now we are canceling the factor of 8 from numerator and denominator.
$$x=5\times 3$$
Now we are multiplying the number
$$x=15$$
The value of the given expression $${\displaystyle \frac{5}{8}}$$ of 24 is 15.

Note: To solve this type of question we must know the knowledge of the BODMAS rule. This rule will tell the precedence of mathematical operators. The rule stands for the bracket, of, divide, multiplication, addition, and subtraction. We start the mathematical operators from the start and follow all the rules step by step. “of” is replaced by a multiplication sign and then we move further in the rule. If the expression is large then the question is not difficult, only the calculation is lengthy. The students make mistakes in the calculation only.