Answer:
D
Explanation:
a. To find the least common denominator (LCD) for 1/6 and 7/8, we need to determine the smallest number that both 6 and 8 can evenly divide into.
We can start by listing the multiples of each denominator:
Multiples of 6: 6, 12, 18, 24, ...
Multiples of 8: 8, 16, 24, 32, ...
From the lists above, we can see that the smallest number that both 6 and 8 can divide into evenly is 24.
Therefore, the least common denominator (LCD) for 1/6 and 7/8 is 24.
b. To find the least common denominator (LCD) for 3/4 and 7/10, we need to determine the smallest number that both 4 and 10 can evenly divide into.
We can start by listing the multiples of each denominator:
Multiples of 4: 4, 8, 12, 16, ...
Multiples of 10: 10, 20, 30, 40, ...
From the lists above, we can see that the smallest number that both 4 and 10 can divide into evenly is 20.
Therefore, the least common denominator (LCD) for 3/4 and 7/10 is 20.
c. To find the least common denominator (LCD) for 7/12, 3/8, and 11/36, we need to determine the smallest number that all the denominators can evenly divide into.
We can start by listing the multiples of each denominator:
Multiples of 12: 12, 24, 36, 48, ...
Multiples of 8: 8, 16, 24, 32, ...
Multiples of 36: 36, 72, 108, 144, ...
From the lists above, we can see that the smallest number that all the denominators can divide into evenly is 24.
Therefore, the least common denominator (LCD) for 7/12, 3/8, and 11/36 is 24.
d. To find the least common denominator (LCD) for 8/15, 11/30, and 3/5, we need to determine the smallest number that all the denominators can evenly divide into.
We can start by listing the multiples of each denominator:
Multiples of 15: 15, 30, 45, 60, ...
Multiples of 30: 30, 60, 90, 120, ...
Multiples of 5: 5, 10, 15, 20, ...
From the lists above, we can see that the smallest number that all the denominators can divide into evenly is 30.
Therefore, the least common denominator (LCD) for 8/15, 11/30, and 3/5 is 30.