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# 8 1/3% of what number is 45.5 ?

8 1/3 % of what number is 45.5

### 4 Answers by Expert Tutors

George T. | George T.--"It's All About Math!"George T.--"It's All About Math!"
1
Kenge:

In Vivian's solution, note that 8 1/3% was rounded to the nearest thousandths (0.083) prior to solving the problem, which resulted in an answer of 548.

If we choose not to round, we get a slightly different result, as follows:

8 1/3% can be converted into an improper fraction of (25/3)/100, which is equal to 25/300 or 1/12 in reduced form.

Similarly, 45.5 can be converted to 45 1/2 or 91/2.

The equation to solve would then become  (1/12)x=91/2

Solving for x, by multiplying both sides by 12 results in x=(91/2)*12 or x=546, as the answer.

Thanks,

George T.
Arthur D. | Effective Mathematics TutorEffective Mathematics Tutor
5.0 5.0 (9 lesson ratings) (9)
0
p=rb (percentage=rate*base)
percentage is the IS number, base is the OF number and rate is the %

; let n=the base
45.5=(8 1/3)%*n
(8 1/3) %=(8 1/3)/100=(25/3)/100=25/300=1/12
45.5=(1/12)*n
12*45.5=n
546=n

Jason S. | My goal is the success of my students. Knowledge-Patience-HonestyMy goal is the success of my students. K...
4.9 4.9 (115 lesson ratings) (115)
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8 1/3% = 75/900 or 1/12

1/12 * x = 45.5

x = 45.5 / (1/12)

45.5 / (1/12) = 45.5 * 12 = 546
Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
3.0 3.0 (1 lesson ratings) (1)
0
Hi Kenge;
8 1/3 % of what number is 45.5?

First, we must eliminate the %...
8 1/3%= 0.083

45.5=0.083(x)
x="what number"
Let's divide both sides by 0.083
45.5/(0.083) = 0.083(x)/0.083
548=x

Let's check our work...
548(0.083) ? 45.5
Yes it does =.