Question

Find the value of \[12\dfrac{1}{2}\% \] of 80kgs.

Answer 1

Hint: To solve this problem we will first convert the mixed fraction given into an improper fraction. For that we will use the formula of converting it. Then we know that the “of” operator means multiplication or product. So we will find that fraction of 80kgs. So let’s solve it.
Formula used:
Mixed fraction into improper fraction: \[a\dfrac{b}{c} = \dfrac{{c \times a + b}}{c}\]

Complete step-by-step answer:
We know that,
\[a\dfrac{b}{c} = \dfrac{{c \times a + b}}{c}\]
So, \[12\dfrac{1}{2}\% = \dfrac{{2 \times 12 + 1}}{2} = \dfrac{{25}}{2}\% \]
Now it is clear that we have to find \[\dfrac{{25}}{2}\% \] of 80kgs.
So,
\[ = \dfrac{{25}}{2} \times \dfrac{1}{{100}} \times 80\]
On calculating we get,
\[ = \dfrac{{25 \times 80}}{{2 \times 100}}\]
On multiplying we get,
\[ = \dfrac{{2000}}{{200}}\]
On dividing we get,
\[ = 10kg\]
Thus, the answer is 10kgs.
So, the correct answer is “ 10kgs ”.

Note: Note that, the fraction given first is to be converted into improper fraction. Because we need to find the fraction in the form of numerator and denominator. Also note that when we write the percentage the denominator is 100 and not the numerator.
Improper fractions have numerators greater than denominators.
Also note that the “of” operator is multiplication and the “by” operator is division.