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What number is 6 and 1/2% of 400?

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5 Answers

Hi Kristin,
 
To figure out what the percent of a certain number is you have to first convert that percent into a decimal and then multiply that by the number. First, understand that another way of writing 6 and 1/2% is also 6.5% (This is because .5 is equal to 1/2). To convert 6.5% into decimals we just move the decimal place to the left twice making it .065. We then turn this decimal into a fraction. This is easy once we remember that .065 is equal to 65/1000. We then reduce this number to 13/200. Finally we multiply this number by 400. So the equation then becomes 13/200 x 400. This then simplifies to 13 x 2 which equals 26. So 6 and 1/2% of 400 is 26. Hope that helps.  

Comments

Hi Kristin,
 
Let the number be y
 
what number is 6 and 1/2% of 400
 
6 and 1/2=13/2
 
 y=13/2%×400
 
y=(13/2)×(1/100)×400
 
y=13×400/200=13×2=26
 
26 is 6 and 1/2% of 400
What number: x
is: =
6 and 1/2%: ((6+1/2)/100)
of: *
400: (400/1)      
 
x =  ((6+1/2)/100) * (400/1)
 
x = (6+1/2)(400/100)
 
x = 4(6+1/2)
 
x = 24 + 2
 
x = 26

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