(1). Simplify $$ \left(\frac{2}{3}\right. $$ of $$ \left.\frac{3}{4}\right)+\frac{1}{2} $$

Question

UpStudy AI · Accepted Answer

To simplify the expression:

$$
\left(\frac{2}{3}\right) \text{ of } \left(\frac{3}{4}\right) + \frac{1}{2}
$$

**Step 1: Interpret "of" as multiplication**

In mathematical terms, "of" typically means multiplication. So, the expression becomes:

$$
\left(\frac{2}{3}\right) \times \left(\frac{3}{4}\right) + \frac{1}{2}
$$

**Step 2: Multiply the fractions**

$$
\frac{2}{3} \times \frac{3}{4} = \frac{2 \times 3}{3 \times 4} = \frac{6}{12} = \frac{1}{2}
$$

**Step 3: Add the remaining fraction**

$$
\frac{1}{2} + \frac{1}{2} = \frac{2}{2} = 1
$$

**Final Answer:**

$$
1
$$
The simplified result is 1.

(1). Simplify \( \left(\frac{2}{3}\right. \) of \( \left.\frac{3}{4}\right)+\frac{1}{2} \)