Question

What is 38% of 250?

Answer 1

Hint: We first find the fraction form of 38% in the form of $\dfrac{38}{100}$. Then we multiply this fraction with 250 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 38% of 250, 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, 38% can be written as $\dfrac{38}{100}$.
Now we need to find the 38% of 250 which is equal to $250\times \dfrac{38}{100}$.
The multiplication gives $250\times 38=9500$.
We get $250\times \dfrac{38}{100}=\dfrac{9500}{100}$.
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 give fraction $\dfrac{9500}{100}$, the G.C.D of the denominator and the numerator is 100.
\[\begin{align}
  & 2\left| \!{\underline {\,
  100,9500 \,}} \right. \\
 & 2\left| \!{\underline {\,
  50,4750 \,}} \right. \\
 & 5\left| \!{\underline {\,
  25,2375 \,}} \right. \\
 & 5\left| \!{\underline {\,
  5,475 \,}} \right. \\
 & 1\left| \!{\underline {\,
  5,95 \,}} \right. \\
\end{align}\]
The GCD is $2\times 2\times 5\times 5=100$
Now we divide both the denominator and the numerator with 100 and get $\dfrac{9500}{100}=95$.
Therefore, 38% of 250 is 95.

Note: The value of the fraction is actually the unitary value of 4 out of 100. Therefore, in percentage value we got 4 as the percentage. Percentage deals with the ratio out of 100. The ratio value for both fraction and percentage is the same.