Find the LCD of three-fifths and start fraction 1 over 6 end fraction.

(1 point)
Responses

5
5

6
6

11
11

30

The LCD of three-fifths and start fraction 1 over 6 end fraction is 30.

Add the fractions and write your answer in lowest terms.

two-fifths + one-ninth
(1 point)
Responses

one fifteenth
Image with alt text: one fifteenth

Image with alt text:

start fraction 3 over 14 end fraction
Image with alt text: start fraction 3 over 14 end fraction

To find the Least Common Denominator (LCD) of three-fifths and one-sixth, we need to find the smallest number that is divisible by both 5 and 6.

The multiples of 5 are: 5, 10, 15, 20, 25, 30, ...

The multiples of 6 are: 6, 12, 18, 24, 30, ...

Here we can see that the smallest number divisible by both 5 and 6 is 30.

Therefore, the LCD of three-fifths and one-sixth is 30.

To find the Least Common Denominator (LCD) of two fractions, you need to determine the smallest multiple that both denominators have in common.

In this case, the denominators are 5 and 6.

To find the LCD, you can start by listing the multiples of each denominator:

For 5: 5, 10, 15, 20, 25, 30, ...
For 6: 6, 12, 18, 24, 30, ...

As you can see, the first multiple that is common to both 5 and 6 is 30.

Therefore, the LCD of three-fifths and start fraction 1 over 6 end fraction is 30.

The correct answer is 30.