Multiple Choice
Find the LCD of three-fifths and start fraction 1 over 6 end fraction.
(1 point)
Responses
5
5
6
6
11
11
30
To find the least common denominator (LCD) of three-fifths and start fraction 1 over 6 end fraction, we need to find the smallest number that both 5 and 6 can divide into evenly.
The factors of 5 are 1, 5, and 25.
The factors of 6 are 1, 2, 3, and 6.
Since neither 5 nor 6 can divide evenly into each other, we need to multiply them together to find the LCD.
5 * 6 = 30
Therefore, the LCD of three-fifths and start fraction 1 over 6 end fraction is 30.
To find the Least Common Denominator (LCD) of two fractions, we need to find the smallest number that both denominators can divide into evenly.
The denominators of the given fractions are 5 and 6.
To determine the LCD, we can list the multiples of each denominator and find the smallest common multiple.
Multiples of 5: 5, 10, 15, 20, 25, 30, ...
Multiples of 6: 6, 12, 18, 24, 30, ...
The smallest number that appears in both lists is 30. Therefore, the LCD of three-fifths and one-sixth is 30.
So, the correct choice for the LCD is 30.