Respuesta :

Two mixed numbers as [tex]\frac{5}{6}[/tex] and [tex]\frac{5}{12}[/tex] the least common denominator (LCD) is 12.

Step-by-step 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 [tex]\frac{5}{6}[/tex] and [tex]\frac{5}{12}[/tex].

Equivalent Fractions with the LCD

[tex]\frac{5}{6}[/tex] = [tex]\frac{10}{12}[/tex]

[tex]\frac{5}{12}[/tex] = [tex]\frac{5}{12}[/tex]

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