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I need some help on some of these, finding which fraction it would be with clues. I answered some, but some I need help on:

1. My numerator is 6 less than my denominator
I am equivalent to 3/4.

My answer to number 1: 6/12

2. My denominator is 5 more than twice my numerator

I am equivalent 1/3

My answer: Do not understand

3. The GCF of my numerator and denominator is 3.

I am equivalent to 2/5.

My answer: 6/15

4.The GCF of my numerator and denominator is 5.

I am equivalent to 4/6.

Answer: Don't understand.

5. My numerator and denominator are prime numbers.

My numerator is one less than my denominator

My answer: 1/2

6.My numerator and denominator are prime numbers.

The sum of my numerator and denominator is 24.

My answer: Don't understand

Please help me

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2 answers
  1. #1 - good
    #2 - (assuming you don't know algebra)
    make a list that match the description:
    1/7 , 2/9, 3/11, 4/13, 5/15=1/3 , yeahhh
    #3 - good
    #4 - why not do what you did in #3, they are the same question.
    however , if you picked 20/30 , the HCF would be 10 not 5
    so the trick is to first reduce 4/6 to 2/3
    now 2/3 -----> 10/15

    notice the HCF of 10/15 is 5
    and since 4/6 = 2/3 , and 10/15 = 2/3
    4/6 <-----> 10/15

    #5 no
    the smallest prime number is 2, 1 is not considered a prime number, so you want

    2/3

    #6, the prime numbers are
    2, 3, 5, 7, 11, 13, 17, 19, 23, 29, ....
    can you find a pair which adds up to 24 ?, then form the fraction

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  2. #1 Huh? 1:6/12 = 12/6 = 2
    How does that relate to what they said?
    You need to set the words to math:

    (d-6)/d = 3/4
    4(d-6) = 3d
    4d-24 = 3d
    d = 24

    check:
    18/24 = 2/3
    yes.

    As with most skills, with a little practice it gets easier.
    #2
    n/(2n+5) = 1/3
    3n = 2n+5
    ...

    #3
    Since 2 and 5 have no factors in common, just make sure 3 is a factor in the equivalent fraction
    2/5 = 6/15
    GCF = 3, so that works

    #4
    4/6 .. 4 and 6 do not have 5 as a factor, so
    4*5/6*5 = 20/30
    However, GCF(20,20) = 10
    So, reduce the fraction first to get rid of other factors
    4/6 = 2/3
    2*5/2*5 = 10/15
    Now GCF(10,15) = 5 and 10/15 = 2/3

    #5
    With one exception, all primes are odd numbers, which differ by at least 2. The only even prime is 2, so the fraction is 2/3

    #6
    You need two odd numbers whose sum is 24, and they are both primes. So, what are the choices?
    3+21, no
    5+19, yes
    7+17 yes
    9+15 no
    11+13 yes
    That's all we need to check - stop halfway there, because then we start getting repeat values.

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