
What number is \[75\%\] of \[125\]?
Answer
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Hint: In the given question, we are asked to find a number which is \[75\%\] of \[125\]. In other words, we are asked to find the three – fourths of the number \[125\]. The mathematical form of the given statement is, \[75\%\times 125\]. We will solve this expression further and find the value. We will have, \[\dfrac{75}{100}\times 125\]. Reducing this expression further, we will have the number which is \[75\%\] of \[125\]. Hence, we will have the required number.
Complete step by step solution:
According to the given question, we are given a number \[125\] and we are asked to find a number which is \[75\%\] of \[125\]. The mathematical expression for the given statement will be like,
\[75\%\times 125\]-----(1)
We will then solve this above expression and we will have the required number.
If we see the equation (1), we can understand that the question asks us to find the three – fourths of a number.
we have the new expression as,
\[= \dfrac{75}{100}\times 125\]
Reducing the above expression further and we will do so by dividing the fraction by 25 and we get,
\[= \dfrac{3}{4}\times 125\]
Now, multiplying the numerator of the fraction with the number 125, we have,
\[= \dfrac{3\times 125}{4}\]
\[= \dfrac{375}{4}\]
We will now divide 375 by 4 and we get the answer as,
\[= 93.75\]
Or we want to round it off to the nearest whole number, we will get,
\[= 94\]
Therefore, the number which is \[75\%\] of \[125\] is 94.
Note: Whenever you see a ‘%’ sign always interpret it to be 100. So, we were given \[75\%\] and so it should be written as \[\dfrac{75}{100}\] and not as the product, which is, \[75\times 100\]. Also, the calculations should be done step wise to prevent loss of any terms, as it can lead to obtaining the wrong answer.
Complete step by step solution:
According to the given question, we are given a number \[125\] and we are asked to find a number which is \[75\%\] of \[125\]. The mathematical expression for the given statement will be like,
\[75\%\times 125\]-----(1)
We will then solve this above expression and we will have the required number.
If we see the equation (1), we can understand that the question asks us to find the three – fourths of a number.
we have the new expression as,
\[= \dfrac{75}{100}\times 125\]
Reducing the above expression further and we will do so by dividing the fraction by 25 and we get,
\[= \dfrac{3}{4}\times 125\]
Now, multiplying the numerator of the fraction with the number 125, we have,
\[= \dfrac{3\times 125}{4}\]
\[= \dfrac{375}{4}\]
We will now divide 375 by 4 and we get the answer as,
\[= 93.75\]
Or we want to round it off to the nearest whole number, we will get,
\[= 94\]
Therefore, the number which is \[75\%\] of \[125\] is 94.
Note: Whenever you see a ‘%’ sign always interpret it to be 100. So, we were given \[75\%\] and so it should be written as \[\dfrac{75}{100}\] and not as the product, which is, \[75\times 100\]. Also, the calculations should be done step wise to prevent loss of any terms, as it can lead to obtaining the wrong answer.
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