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You just have to reduce 37.5/100. I probably did it the long way but I first divided both the numerator and denominator by .5( common denominator) to get rid of the decimal. That will give you 75/200. So you must further reduce it with a common denominator of 25 that will bring it to 3/8. Or, the common denominator is 12.5. So you could just divide 12.5 by both the numerator and denominator, 37.5/100 by 12.5 and that will bring you to 3/8.
This won't teach you how to do the math, but here's the quick-and-dirty method for when you're pressed for time on a test:
You know that 1/3 as a percentage is 33.3% and your percentage is greater than that, so you're looking for a fraction that is greater than 1/3. For answer B, 5 x 3 = 15, which is less than 18, and for C, 3x3 = 9, which is less than 11, so B and C are eliminated. Look at the numerators of A and D. In answer A, 4 cannot be divided into 375 evenly so D is the answer.
good luck
luci
Solution via Method #1:
Step 1: Convert percentage to fraction: 37.5% = 37.5 / 100
Step 2: Divide numerator & denominator by 5: = 7.5 / 20
Step 3: Multiply numerator & denominator by 10: = 75 / 200
Step 4: Divide numerator & denominator by 25: = 3 / 8
Solution via Method #2:
A = 4/9 = 0.444 = 44.4%
B = 5/18 = 0.278 = 27.8%
C = 3/11 = 0.273 = 27.3%
D = 3/8 = 0.375 = 37.5% (correct answer)
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If you do not have a calculator -- then method #1 is quickest way.
Hope this helps.
John Coxey
anjanette
12 Posts
Hello everyone!
I have been lurking for a while, but this is my first post. A local hospital will select 8 people and pay for them to attend a LPN tech school (about 2 hrs away from here). It sounds like a great deal because they will pay for everything and on top of that, they will pay a wage to the students while in school. If selected, I would have to agree to work for the hospital for 2 years.
Anyway, I have been reviewing the HOBET study guide and I am stuck on a math problem. I feel a bit silly since this is basic algebra, but I haven't been in a math class for a while.
Here's the problem:
37.5% as a common fraction
A. 4/9
B. 5/18
C. 3/11
D. 3/8
The book explains that in order to change % to fractions is remove % sign and divide the number by 100. For some reason, it just not clicking.
If anyone could try to kind of explain how to figure this one out, I would be very happy!
:)
Thanks
Anjie
P.S. They say the answer is 3/8