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

Help! How do I set up this equation..is over of?

### 5 Answers by Expert Tutors

Maxwell C. | Cancer Researcher at Beth Israel Looking to Tutor in ScienceCancer Researcher at Beth Israel Looking...
1
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.

Love this answer! Thank you! This makes so much sense!
Shelly J. | Excellent Maths Tutoring for academic successExcellent Maths Tutoring for academic su...
5.0 5.0 (260 lesson ratings) (260)
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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
Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
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Hi Kristin;
6 and 1/2% is 6.5% is 0.065...
0.065(400)=26
Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...
4.8 4.8 (4 lesson ratings) (4)
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6 1/ 2 % = 6.5 % = 0.065

On 6 1/2 % sales tax means that : Every dollar of purchase will be charged 6 1/2 cents tax.

\$400 * 0.065 =\$ 26
Steve S. | Tutoring in Precalculus, Trig, and Differential CalculusTutoring in Precalculus, Trig, and Diffe...
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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