Question

How do you find the LCD of `11/6` and `3/10`?

Answer 1

The LCD is `30`.

Explanation:

Find the LCD:

`11/6` and `3/10`

Write the multiples of each denominator. The lowest multiple that they have in common is the LCD.

`6:` `6,12,18,24,color(red)(30),36,42,48,54,60,66,72...`

`10:` `10,20,color(red)(30),40,50,60...`

The LCD is `30`.

Answer 2

Write out the prime factors of the denominators of each fraction and find the product of the greater number of each factor.

Explanation:

LCD is the Lowest Common Denominator

For `11/6` and `3/10`:

We are basically finding the lowest common multiple of 6 and 10.
Since `6=2*3` and `10=2*5`, then our LCD would need one 2, one 3, and one 5. Therefore, the LCD is `2*3*5=30`