Question

Write two different mixed numbers where the LCD (lowest common denominator) is 12

Answer 1

Two mixed numbers as
`(5)/(6)` and
`(5)/(12)` the least common denominator (LCD) is 12.

Explanation:

The least common denominator (LCD) is the smallest number that can be a common denominator for a set of fractions. Also known as the lowest common denominator, it is the lowest number you can use in the denominator to create a set of equivalent fractions that all have the same denominator.

Steps to find the LCD of fractions, integers and mixed numbers:

• Convert integers and mixed numbers to improper fractions
• Find the LCD of all the fractions
• Rewrite fractions as equivalent fractions using the LCD

Let's us have two mixed numbers as
`(5)/(6)` and
`(5)/(12)`.

Equivalent Fractions with the LCD

`(5)/(6)` =
`(10)/(12)`

`(5)/(12)` =
`(5)/(12)`

For the denominators (6, 12) the least common multiple (LCM) is 12. Therefore, the least common denominator (LCD) is 12.