Question

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

Answer 1

Two mixed numbers as $\frac{5}{6}$ and $\frac{5}{12}$ 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 $\frac{5}{6}$ and $\frac{5}{12}$.

Equivalent Fractions with the LCD

$\frac{5}{6}$ = $\frac{10}{12}$

$\frac{5}{12}$ = $\frac{5}{12}$

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