1. $$ L=\frac{1}{3}+\left(\frac{3}{4}-\frac{2}{8}\right) $$ 2. $$ \quad O=\frac{1}{4}+\left(\frac{11}{12}-\frac{2}{6}\right) $$ 3. $$ V=\left(\frac{2}{7}+\frac{1}{4}\right)-\frac{3}{7} $$

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UpStudy AI · Accepted Answer

Let's evaluate each of the given expressions step by step.

### 1. $$ L = \frac{1}{3} + \left( \frac{3}{4} - \frac{2}{8} \right) $$

**Step 1:** Simplify inside the parentheses.

$$
\frac{3}{4} - \frac{2}{8} = \frac{3}{4} - \frac{1}{4} = \frac{2}{4} = \frac{1}{2}
$$

**Step 2:** Add the result to $$\frac{1}{3}$$.

$$
L = \frac{1}{3} + \frac{1}{2} = \frac{2}{6} + \frac{3}{6} = \frac{5}{6}
$$

**Result:**
$$
L = \frac{5}{6}
$$

---

### 2. $$ O = \frac{1}{4} + \left( \frac{11}{12} - \frac{2}{6} \right) $$

**Step 1:** Simplify inside the parentheses.

$$
\frac{11}{12} - \frac{2}{6} = \frac{11}{12} - \frac{4}{12} = \frac{7}{12}
$$

**Step 2:** Add the result to $$\frac{1}{4}$$.

$$
O = \frac{1}{4} + \frac{7}{12} = \frac{3}{12} + \frac{7}{12} = \frac{10}{12} = \frac{5}{6}
$$

**Result:**
$$
O = \frac{5}{6}
$$

---

### 3. $$ V = \left( \frac{2}{7} + \frac{1}{4} \right) - \frac{3}{7} $$

**Step 1:** Simplify inside the parentheses.

$$
\frac{2}{7} + \frac{1}{4} = \frac{8}{28} + \frac{7}{28} = \frac{15}{28}
$$

**Step 2:** Subtract $$\frac{3}{7}$$ from the result.

$$
V = \frac{15}{28} - \frac{3}{7} = \frac{15}{28} - \frac{12}{28} = \frac{3}{28}
$$

**Result:**
$$
V = \frac{3}{28}
$$

---

### Summary:

1. $$ L = \frac{5}{6} $$
2. $$ O = \frac{5}{6} $$
3. $$ V = \frac{3}{28} $$
$$ L = \frac{5}{6} $$, $$ O = \frac{5}{6} $$, $$ V = \frac{3}{28} $$

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