a) $$ \frac{4}{5}+\frac{6}{10} $$

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To add the fractions $$ \frac{4}{5} $$ and $$ \frac{6}{10} $$, follow these steps:

### 1. Find a Common Denominator
The denominators of the two fractions are 5 and 10. The **least common denominator (LCD)** is the smallest number that both denominators can divide into evenly.

- **LCD of 5 and 10 is 10.**

### 2. Convert Each Fraction to Have the LCD as the Denominator
Adjust each fraction so that both have the LCD (10) as their denominator.

- **For $$ \frac{4}{5} $$:**

$$
  \frac{4}{5} = \frac{4 \times 2}{5 \times 2} = \frac{8}{10}
  $$

- **For $$ \frac{6}{10} $$:**

$$
  \frac{6}{10} \text{ already has the denominator } 10.
  $$

### 3. Add the Fractions
Now that both fractions have the same denominator, you can add their numerators.

$$
\frac{8}{10} + \frac{6}{10} = \frac{8 + 6}{10} = \frac{14}{10}
$$

### 4. Simplify the Result
The fraction $$ \frac{14}{10} $$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2.

$$
\frac{14 \div 2}{10 \div 2} = \frac{7}{5}
$$

Additionally, $$ \frac{7}{5} $$ can be expressed as a mixed number:

$$
\frac{7}{5} = 1 \frac{2}{5}
$$

### **Final Answer**
$$
\frac{4}{5} + \frac{6}{10} = \frac{7}{5} \quad \text{or} \quad 1 \frac{2}{5}
$$
$$ \frac{4}{5} + \frac{6}{10} = \frac{7}{5} \quad \text{or} \quad 1 \frac{2}{5} $$

a) \( \frac{4}{5}+\frac{6}{10} \)

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