# Thread: 8(2/7)% doesn't equal 58/7 ??

1. ## 8(2/7)% doesn't equal 58/7 ??

I am taking a Pre-College Mathematics (Math 050) Midterm 1 Review test. The question in question is:

Write 8(2/7)% as a fraction.
My answer was 58/7, which was an option, "B". However, the answer key gives the answer as "A", which is 29/350.

First, I got it in my mind that I should multiply the whole number by the denominator and then add that product to the numerator, keeping it over the denominator: ((8*7)+2)/7, which is 58/7. Is this incorrect? If so, where did I learn that process?

Second, I went wrong in not expressing the percentage as a fraction. How do I do that?

2. Originally Posted by cdbmath
I am taking a Pre-College Mathematics (Math 050) Midterm 1 Review test. The question in question is:

My answer was 58/7, which was an option, "B". However, the answer key gives the answer as "A", which is 29/350.

First, I got it in my mind that I should multiply the whole number by the denominator and then add that product to the numerator, keeping it over the denominator: ((8*7)+2)/7, which is 58/7. Is this incorrect? If so, where did I learn that process?

Second, I went wrong in not expressing the percentage as a fraction. How do I do that?
the percent-sign means that you have to multiply your frction by $\displaystyle \frac1{100}$. Therefore:

$\displaystyle \frac{58}7 \cdot \frac1{100} = \frac{58}{700} = \frac{29}{350}$

3. Why does 8(2/7) = 58/7

I thought 8(2/7) was 8 x 2/7 = 16/7

4. Originally Posted by Bruce
Why does 8(2/7) = 58/7

I thought 8(2/7) was 8 x 2/7 = 16/7
I suspect the notation attempts reference to the number 8 and 2/7, that is $\displaystyle 8 \frac{2}{7}$.