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?

SoOoO CoNfUsInG

wow

1/4 is greater

meh

To find a fraction that satisfies the given conditions, we'll follow these steps:

1. Start by considering the denominator of the fraction. It is given that the denominator is 4 more than the numerator.

2. Let's assume that the numerator is represented by the variable "x." So, the denominator would be "x + 4."

3. The fraction is greater than 1/8 and less than 1/4. This means that it should fall between these two values on the number line.

4. To compare fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 8.

5. Check the value of 1/8 and 1/4 when they have a denominator of 8.

- 1/8 with a denominator of 8 is equivalent to 1/8 × 8/8 = 8/64.
- 1/4 with a denominator of 8 is equivalent to 1/4 × 2/2 = 2/8.

6. Since the desired fraction should be greater than 1/8 and less than 1/4, it should have a value greater than 8/64 and less than 2/8.

7. Convert 8/64 and 2/8 back to fractions with the denominator x + 4.

- 8/64 is equivalent to (8/64) × (x + 4)/(x + 4).
- 2/8 is equivalent to (2/8) × (x + 4)/(x + 4).

8. Simplify both fractions:

- (8/64) × (x + 4)/(x + 4) = (8x + 32)/(64x + 256).
- (2/8) × (x + 4)/(x + 4) = (2x + 8)/(8x + 32).

9. It is given that the desired fraction should be between these two values. Thus, the desired fraction satisfies the inequality:

(8x + 32)/(64x + 256) < desired fraction < (2x + 8)/(8x + 32).

Now, we need to solve this inequality to find the range of values for "x."

10. Cross-multiply the inequality:

(64x + 256) × desired fraction > (8x + 32) × desired fraction > (2x + 8) × desired fraction.

11. Simplify:

64x + 256 > desired fraction × (8x + 32) > (2x + 8) × desired fraction.

12. Since we don't know the exact value of the desired fraction, we cannot simplify the inequality further. However, this gives us a range of values for "x."

By solving this inequality, you will find the possible values of "x" that satisfy the given conditions. Once you have the values, you can substitute them back in the expression "x/(x + 4)" to find the corresponding fractions.

sooo cONFUSING WOW MY MIND IS wow

yup

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,, :)

jai that was too complicated you do 1/8 which is nothing and get 1/4 and /4 and you do the math 4 goes into 4 1 time times 1 = 1 which the answer is one whole there ya go!