Answer:
12
Step-by-step explanation:
The least common multiple of {6,8,12} is 24. This can be intuitively figured by noting that any multiple of 12 is a multiple of 6 and that 12 is 1.5x larger than 8. That means we only have so multiple 12 by 2 and 8 by 3 for them to be equal. The GCF of {20,42,72} is 2 as the prime factorization of 20 is 2x2x5 and 42 is 2x3x7. That means even without having to check 72 (which is clearly even so 2 is a factor), we know that 2 is the greatest common factor that they could share. So X/Y = 24/2 = 12
72 is the denominator because 24 multiplied by 3 is 72 and 18 multiplied by 4 is 72
16-3p=2/3p+5
add 3p to each side
16 = 3 2/3 p +5
subtract 5
11 = 3 2/3 p
change to an improper fraction
11 = (3*3+2)/3 p
11 = 11/3 p
multiply by 3/11 on each side
11 * 3/11 = 3/11 * 11/3 p
3 =p
