https://file.aiquickdraw.com/mathbot/file/1727119180370eik3anef.jpg

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).

Evaluate the expression shown below and write your answer as a fraction in simplest form: 6/5 + 12/35

Learn how to add fractions with different denominators by finding the least common denominator (LCD). The example 6/5 + 12/35 demonstrates how to convert fractions and add them, arriving at the simplest form.

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