SOLUTION: 11/4 into a percent

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Question 276400: 11/4 into a percent
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Converting to and from percents, decimals, and fractions


There are two ways to do this


Method #1:

First, we must convert the given fraction into a decimal number. So use a calculator or long division to convert the given fraction 11%2F4 to a decimal number. In this case, 11%2F4=2.75


Now just multiply the equivalent decimal 2.75 by 100 to convert it into a percent. So 100%2A2.75=275. Take note that we're simply moving the decimal point two spots to the right.


So the given fraction 11%2F4 is equivalent to 275%


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Or...


Method # 2


Recall that a percent can be represented by the equation


  
     percent           part
  ------------- = ----------------
      100              whole



where 'percent' is the answer we want, the 'part' is the numerator of the given fraction, and 'whole' is the denominator of the given fraction.


So let's make 'x' the unknown percentage.


Since we're given the fraction 11%2F4, this means that the numerator is 11 and the denominator is 4. Using the equation above, we see that the 'part' is 11 while the 'whole' is 4


So let's plug these values into the equation given above to get x%2F100=11%2F4



x%2F100=11%2F4 Start with the given equation



cross%28100%29%28x%2Fcross%28100%29%29=100%2811%2F4%29 Multiply both sides by 100 to isolate 'x'.



x=100%2811%2F4%29 Simplify



x=%28100%2A11%29%2F4 Multiply 100 and 11%2F4 to get %28100%2A11%29%2F4



x=1100%2F4 Multiply 100 and 11 to get 1100



x=275 Divide



So the given fraction 11%2F4 is equivalent to 275%


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