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
#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
#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.
Sure, I'd be happy to help you solve these fraction problems!
1. For the first question, you correctly identified that the numerator is 6 less than the denominator, and the fraction is equivalent to 3/4. To find the fraction, we need to set up an equation. Let's assume the denominator is x. Since the numerator is 6 less than the denominator, the numerator would be (x - 6). Setting up the equation, we have (x - 6)/x = 3/4. To solve for x, we can cross-multiply: 4(x - 6) = 3x. Simplifying this equation will give us x = 24. Therefore, the fraction is (x - 6)/x = (24 - 6)/24 = 18/24. Simplifying further, we get 3/4, which is the correct answer.
2. In the second question, the denominator is 5 more than twice the numerator, and the fraction is equivalent to 1/3. Again, let's assume the numerator is x. Then, the denominator would be (2x + 5). Setting up the equation, we have x/(2x + 5) = 1/3. Cross-multiplying, we get 3x = 2x + 5. Simplifying this equation will give us x = 5. Therefore, the fraction is x/(2x + 5) = 5/(2(5) + 5) = 5/15. Simplifying further, we get 1/3, which is the correct answer.
3. For the third question, the greatest common factor (GCF) of the numerator and denominator is 3, and the fraction is equivalent to 2/5. Let's assume the numerator is 2x and the denominator is 5x. Since the GCF is 3, we can simplify the fraction by dividing both the numerator and denominator by 3. Simplifying 2x/5x by dividing both by 3, we get 2/5. Therefore, the fraction is 2x/5x = 2/5. Since we simplified it to the same fraction, the answer is 2/5.
4. In the fourth question, the GCF of the numerator and denominator is 5, and the fraction is equivalent to 4/6. Let's assume the numerator is 4x and the denominator is 6x. Since the GCF is 5, we can simplify the fraction by dividing both the numerator and denominator by 5. Simplifying 4x/6x by dividing both by 5, we get 4/6. However, this fraction can be further simplified since both the numerator and denominator are even and divisible by 2. Dividing both by 2, we get 2/3. Therefore, the fraction is 2x/3x = 2/3. Since we simplified it to the same fraction, the answer is 2/3.
5. In the fifth question, both the numerator and denominator are prime numbers, and the numerator is one less than the denominator. The only prime numbers that satisfy this condition are 2 and 3. Since the numerator is one less than the denominator, the fraction would be 2/3.
6. For the last question, both the numerator and denominator are prime numbers, and the sum of the numerator and denominator is 24. The only prime numbers that add up to 24 are 11 and 13. So, the fraction would be 11/13.
I hope this clarifies the solutions for you! Let me know if there's anything else I can assist you with.