Question

Find 75% of 12.

Answer 1

Hint: We first find the fraction form of 75% in the form of $ \dfrac{75}{100} $ . Then we multiply this fraction with 12 to find the final solution of the problem. We complete the multiplication and then division to find the integer value.

Complete step-by-step answer:
For the given percentage 75% of 12, we first need to find the mathematical form.
We know for any arbitrary percentage value of a%, we can write it as $ \dfrac{a}{100} $ . The percentage is to find the respective value out of 100.
Therefore, 75% can be written as $ \dfrac{75}{100} $ .
Now we need to find the 75% of 12 which is equal to $ 12\times \dfrac{75}{100} $ .
The multiplication gives $ 12\times 75=900 $ .
We get $ 12\times \dfrac{75}{100}=\dfrac{900}{100} $ .
For any fraction $ \dfrac{p}{q} $ , we first find the G.C.D of the denominator and the numerator. If it’s 1 then it’s already in its simplified form and if the G.C.D of the denominator and the numerator is any other number d then we need to divide the denominator and the numerator with d and get the simplified fraction form as $ \dfrac{{}^{p}/{}_{d}}{{}^{q}/{}_{d}} $ .
For our given fraction $ \dfrac{900}{100} $ , the G.C.D of the denominator and the numerator is 100.
\[\begin{align}
  & 2\left| \!{\underline {\,
  100,900 \,}} \right. \\
 & 2\left| \!{\underline {\,
  50,450 \,}} \right. \\
 & 5\left| \!{\underline {\,
  25,225 \,}} \right. \\
 & 5\left| \!{\underline {\,
  5,45 \,}} \right. \\
 & 1\left| \!{\underline {\,
  1,9 \,}} \right. \\
\end{align}\]
The GCD is $ 2\times 2\times 5\times 5=100 $
Now we divide both the denominator and the numerator with 100 and get $ \dfrac{900}{100}=9 $ .
Therefore, 75% of 12 is 9.
So, the correct answer is “ 9.”.

Note: The value of the fraction is actually the unitary value of 75 out of 100. Therefore, in percentage value we got 75 as the percentage. Percentage deals with the ratio out of 100. The ratio value for both fraction and percentage is the same.