Help me!;/

1) my numerator is 6 less than my denominator. I am equivalent to 3/4.
2)my denominator is 5 more than twice my numerator. I am equivalent to 1/3.
3)the gcf of my numerator and denominator is 3. I am equivalent to 2/5.
4)the gcf of my numerator and denominator is 5.i am equivalent to 4/6.
5)my numerator and denominator are prime numbers. My numerator is one less than my denominator.
6)my numerator and denominator are prime numbers. The sum of my numerator and denominator is 24.
7) my numerator is divisible by 3. My denominator is divisible by 5. My denominator is 4 less than twice my numerator.
8) my numerator is divisible by 3. My denominator is divisible by 5. My denominator is 3 more than twice my numerator.
9) my numerator is a one_digit prime number. My denominator is a one_digit composite number. I am equivalent to 8/32.
10) my numerator is a prime number. The gcf of my numerator and denominator is 2. I am equivalent to 1/5.
Help please!!!(;

3 answers

I will give you help on some of these.

1. x/(x+6) = 3/4

Multiply both sides by x+6 and 4.

4x = 3x + 18

x = 18, the x+6 = 24

18/24 = 3/4

2. x/(2x+5) = 1/3 (Use same process as in #1.)

5. Are 2 and 3 both prime numbers?

6. What two prime numbers add to 24? Go up the scale of primes to find if 24 minus that number gives you another prime.

I hope this gives you a start.
i don't kow sorry
The GCf of my numerator and denominator is 3. I am equivalent to 2/5
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