Answer:
Step-by-step explanation:
40.
Multiples of 3: 3,6,9,12, 15, …
Multiples of 5: 5, 10, 15, 20, …
LCM of 3 and 5 is 15
Multiples of 6: 6, 12, 18, 24,…
Multiples of 9: 9, 18, 27,…
LCM of 6 and 9 is 18
42.
1/2 and 2/3
denominator 2 has multiples: 2, 4, 6, 8, 10, 12 …
denominator 3 has multiples: 3, 6, 9, 12,…
LCD of 1/2 and 2/3 is 6
equivalent fraction 1/2 = 3(1/2) = 3/6
equivalent fraction 2/3 = 2(2/3) = 4/6
43.
5/12 and 2/15
denominator 12 has multiples: 12, 24, 36, 48, 60…
denominator 15 has multiples: 15, 30, 45, 60…
LCD of 5/12 and 2/15 is 60
equivalent fraction 5/12 = 5(5/12) = 25/60
equivalent fraction 2/15 = 4(2/15) = 8/60
44.
16/48 has the prime factorization 2*2*2*2/ 2*2*2*2*3
16/48 simplification is 1/3
45.
12/40 has the prime factorization 2*2*3/2*2*2*5
12/40 simplification is 3/ 10
46.
18/63 has the prime factorization 2*3*3/ 3*3*7
18/63 simplification is 2/7
. Then 
, and so as 
, you have 
. The limit is then equivalent to