The expression provided is:

$\frac{6}{5} + \frac{12}{35}$

Step 1: Find the Least Common Denominator (LCD)

The denominators are 5 and 35. The LCD of 5 and 35 is 35.

Step 2: Convert each fraction to have a denominator of 35

For $\frac{6}{5}$, multiply both the numerator and the denominator by 7 to get:

$\frac{6}{5} = \frac{6 \times 7}{5 \times 7} = \frac{42}{35}$

Now, the fractions are:

$\frac{42}{35} + \frac{12}{35}$

Step 3: Add the fractions

Since the denominators are the same, add the numerators:

$\frac{42 + 12}{35} = \frac{54}{35}$

Step 4: Simplify if possible

$\frac{54}{35}$ is already in its simplest form because 54 and 35 have no common factors other than 1.

Final Answer:

$\frac{54}{35}$

Would you like further explanation on any of these steps?

Here are 5 related questions for further practice:

1. What is the least common denominator of $\frac{7}{10}$ and $\frac{9}{14}$?
2. How do you add $\frac{3}{4} + \frac{5}{6}$?
3. Simplify the fraction $\frac{24}{56}$.
4. Subtract $\frac{11}{15} - \frac{4}{5}$.
5. Convert the improper fraction $\frac{54}{35}$ to a mixed number.

Tip: Always reduce fractions to their simplest form by dividing both the numerator and denominator by their greatest common factor (GCF).