Find the LCD of three-fifths and one-sixth
The LCD of three-fifths and one-sixth is 30.
To find the least common denominator (LCD) of three-fifths and one-sixth, we need to determine the smallest multiple that both denominators (5 and 6) share.
First, write out the multiples of 5: 5, 10, 15, 20, 25, 30, ...
Then, write out the multiples of 6: 6, 12, 18, 24, 30, 36, ...
By comparing the two lists, we can see that the smallest multiple they have in common is 30. Therefore, the LCD of three-fifths and one-sixth is 30.
To find the LCD (Least Common Denominator) of two fractions, you need to find the smallest multiple that both denominators share.
For the fractions three-fifths and one-sixth, the denominators are 5 and 6. To find the LCD, we can follow these steps:
Step 1: List the multiples of the larger denominator (6) until you find a multiple that is divisible by the smaller denominator (5).
Multiples of 6: 6, 12, 18, 24, 30, 36, ...
The first multiple of 6 that is divisible by 5 is 30.
Step 2: The multiple 30 is the LCD.
Therefore, the LCD of three-fifths and one-sixth is 30.