To solve the expression \(\frac{5}{4} + \frac{5}{6}\), you need to add the two fractions. Here’s a step-by-step process:

### Step 1: Find the Least Common Denominator (LCD)

The denominators are 4 and 6. The LCD of 4 and 6 is 12.

### Step 2: Convert Each Fraction to Have the LCD

Convert \(\frac{5}{4}\) and \(\frac{5}{6}\) so that they both have 12 as the denominator.

1. For \(\frac{5}{4}\):
   \[
   \frac{5}{4} = \frac{5 \times 3}{4 \times 3} = \frac{15}{12}
   \]

2. For \(\frac{5}{6}\):
   \[
   \frac{5}{6} = \frac{5 \times 2}{6 \times 2} = \frac{10}{12}
   \]

### Step 3: Add the Fractions

Now, add the fractions:
\[
\frac{15}{12} + \frac{10}{12} = \frac{25}{12}
\]

### Step 4: Simplify if Necessary

\(\frac{25}{12}\) is already in its simplest form. It is an improper fraction and can also be written as a mixed number:

\[
\frac{25}{12} = 2 \frac{1}{12}
\]

### Final Answer

\[
\frac{5}{4} + \frac{5}{6} = \frac{25}{12} \text{ or } 2 \frac{1}{12}
\]

Would you like further details on this, or do you have any questions?

Here are some related questions you might find useful:

1. How do you find the least common denominator of two fractions?
2. What are improper fractions, and how do you convert them to mixed numbers?
3. How can you add fractions with different denominators?
4. How do you simplify fractions to their lowest terms?
5. What are some common mistakes to avoid when adding fractions?

**Tip:** Always make sure the fractions have a common denominator before adding or subtracting them!

Learn how to add fractions with different denominators by solving the expression 5/4 + 5/6. This guide covers finding the least common denominator and converting fractions to simplify the addition process. Suitable for Grades 5-6.

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