SOLUTION: 11/4 into a percent

Question 276400: 11/4 into a percent
Answer by jim_thompson5910(35256) (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 to a decimal number. In this case,

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

So the given fraction is equivalent to 275%

--------------------------

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 , this means that the numerator is and the denominator is . Using the equation above, we see that the 'part' is while the 'whole' is

So let's plug these values into the equation given above to get

Start with the given equation

Multiply both sides by 100 to isolate 'x'.

Simplify

Multiply 100 and to get

Multiply 100 and to get

Divide

So the given fraction is equivalent to 275%

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