My numerator is divisible by 3.

My denominator is divisible by 5.

My denominator is 4 less than twice my
numerator.

plz help very confused!

Equation:

d = denominator
n = numerator

d = 2n - 4

Plug in numbers for n

2*3-4=2
2*6-4=8
2*9-4=14
2*12-4=20

n = 12
d = 20

Fraction:
12/20

Thank you so much chelle

Let's solve the problem step by step.

1. Let's start by assigning variables to the unknown quantities in the problem. We can use "n" for the numerator and "d" for the denominator.

2. Based on the given information, we can write the following equations:

Equation 1: The numerator is divisible by 3, which means n is a multiple of 3. We can represent this as n = 3k, where k is an integer.

Equation 2: The denominator is divisible by 5, which means d is a multiple of 5. We can represent this as d = 5m, where m is an integer.

Equation 3: The denominator is 4 less than twice the numerator, which can be written as d = 2n - 4.

3. Now we have three equations. We can substitute equations 1 and 2 into equation 3 to form a new equation with only one variable:

5m = 2(3k) - 4

4. Simplify the equation:

5m = 6k - 4

5. Rearrange the equation to isolate one variable:

6k = 5m + 4

6. Increment m by 1 and substitute it back into the equation to find a solution:

6k = 5(m + 1) + 4

7. Expand the equation:

6k = 5m + 5 + 4

8. Simplify the equation:

6k = 5m + 9

9. Since k and m are integers, we need to find a solution that satisfies the equation. One possible solution is k = 3 and m = 4:

6(3) = 5(4) + 9

18 = 20 + 9

18 = 29

10. Since the equation doesn't hold true for any values of k and m, there is no solution that satisfies all the conditions given in the problem.

Therefore, there is no possible fraction that meets all the given criteria.