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  Convert to a percent: 23/25

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yoyoma456 | Student, Grade 9 | eNotes Newbie

Posted September 14, 2009 at 10:01 AM via web

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  Convert to a percent: 23/25

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neela | High School Teacher | Valedictorian

Posted September 14, 2009 at 10:06 AM (Answer #1)

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To convert 23/25 into percent:

The working rule: Multiply 23 by 100 and divide the result by 25 you get the rqured percentage . 23*100/25 =2300/25 =92%

 

Explanation:

A percentage is nothing but what is the numerator of the equivlent fraction whose denominator is 100.

If you multiply the numerator by a number and multiply denominator  by that same number you get the equivalent fraction as below:

23/25,   23*2/(25*2) =46/50,   23*3/(25*3)=69/75,   23*4/(25*4)=92/100, 23*5/(25*5)=115/125,   23*6/(25*6)=138/150 etc are all its equivalent fractions and their value is equal to 23/25.

Among these equivalent fractions, the numerator 92 of  the fraction, 92/100 when the denomonator is 100, is called the percentage equivalent to the fraction 23/25.

The calculation is done simply as follows:

23/25 = (23/25)*100 %= 2300/25=92%

Hope this helps.

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krishna-agrawala | College Teacher | Valedictorian

Posted September 14, 2009 at 10:39 AM (Answer #2)

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The answer above has a two line answer as follows:

To covert 23/25 into percent:

23/25  in percent = (23/25)*100= 2300/25=92%

This answer is correct only if we consider "23/25" to mean '23 out of 25' or '23 per 25'.

If we consider 23/25 as a single number which in decimals is equal to 0.92, then to say that convert this number into percent will have no meaning.

Percentage always involves comparison between two numbers which can be expressed in three different ways - fraction, ratio and percentage. For example. if in a group of 10 students, which has 4 boys and 6 girls, we can compare number of boy and girls by saying:

  1. The group has 2/5th number of boys and 3/5th number of girls
  2. The group has boys and girls in the ratio 2:3
  3. The group has 40% boys and 60% girls
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jess1999 | TA , Grade 9 | Valedictorian

Posted June 26, 2014 at 6:49 AM (Answer #4)

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To change 23/25 to a decimal, your have to change the denominator to 100 .

In order to change 25 into 100, your have to multiply it by 4.

By multiplying the numerator and denominator by 4 you should get

92/100 = 92%

so the answer to your question is : 23/25 = 92%

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nisarg | TA , Kindergarten | Valedictorian

Posted June 26, 2014 at 2:30 PM (Answer #5)

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Percents are something out of 100 they literally translate to out of every 100 so

`23/25=x/100`

`25x=2300`

`x=92`

`or 92%`

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Wiggin42 | TA , Grade 11 | Valedictorian

Posted June 29, 2014 at 8:26 PM (Answer #6)

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The fraction you have is 23/25. Percentage means per one hundred. This basically says your fraction needs to have a denominator of 100. That is easy to do in this case. Just multiply by 1 in a convenient way ( 4 / 4)

(23 / 25) x (4 / 4) = 96/100 which is 96%

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nisarg | TA , Kindergarten | Valedictorian

Posted July 12, 2014 at 2:44 AM (Answer #7)

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23/25=x/100

23/25=92/100

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