A fraction greater than 1/8 and less than 1/4 is in simplest form and denominator is 4 more than its numerator...what is the fraction?

first, write inequality equations using the given statements/description:

let x = numerator
let x+4 = denominator
1/8 < x/(x+4) *fraction is greater than 1/8
x + 4 < 8x
7x > 4
x > 4/7

x/(x+4) < 1/4 *fraction is less than 1/4
4x < x + 4
3x < 4
x < 4/3

now, x is between 4/7 and 4/3 ,, we then find value of x which is a whole number (since numerator and denominator of a fraction are integers or whole numbers),, values between these two are:
4/6 , 4/5, 4/4
therefore the only whole number here in simplest form is 4/4 = 1 = x
the fraction is thus 1/5

so there,, :)

To find a fraction that is greater than 1/8 and less than 1/4, we can start by finding the simplest form of each fraction.

First, let's find the simplest form of 1/8. We know that the numerator (top number) is 1, and the denominator (bottom number) is 8. Since 1 and 8 have no common factors other than 1, this fraction is already in simplest form.

Next, let's find the simplest form of 1/4. The numerator is 1, and the denominator is 4. Again, 1 and 4 have no common factors other than 1, so this fraction is also in simplest form.

Now, we need to find a fraction that is greater than 1/8 and less than 1/4. We can use the fraction 3/16 as an example. The numerator is 3, and the denominator is 16. However, we need to verify that the denominator is 4 more than the numerator. In this case, 16 is indeed 4 more than 3.

Therefore, the fraction that meets all the given conditions is 3/16.