$$ 6+\frac{1}{2} $$ of $$ 30 \div(9-0) $$ $$ 3^{2}+5 imes 3-6 \div 3 $$

Question

$$ 6+\frac{1}{2} $$ of $$ 30 \div(9-0) $$ $$ 3^{2}+5 	imes 3-6 \div 3 $$

UpStudy AI · Accepted Answer

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

### 1. $$ 6 + \frac{1}{2} $$ of $$ 30 \div (9 - 0) $$

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

$$
9 - 0 = 9
$$

**Step 2: Perform the division**

$$
30 \div 9 = \frac{30}{9} = \frac{10}{3}
$$

**Step 3: Calculate $$\frac{1}{2}$$ of $$\frac{10}{3}$$**

$$
\frac{1}{2} \times \frac{10}{3} = \frac{10}{6} = \frac{5}{3}
$$

**Step 4: Add 6 to the result**

$$
6 + \frac{5}{3} = \frac{18}{3} + \frac{5}{3} = \frac{23}{3} = 7\frac{2}{3}
$$

**Final Result:**

$$
6 + \frac{1}{2} \text{ of } 30 \div (9 - 0) = \frac{23}{3} \text{ or } 7\frac{2}{3}
$$

---

### 2. $$ 3^{2} + 5 \times 3 - 6 \div 3 $$

**Step 1: Calculate the exponent**

$$
3^{2} = 9
$$

**Step 2: Perform the multiplication**

$$
5 \times 3 = 15
$$

**Step 3: Perform the division**

$$
6 \div 3 = 2
$$

**Step 4: Combine all the results**

$$
9 + 15 - 2 = 22
$$

**Final Result:**

$$
3^{2} + 5 \times 3 - 6 \div 3 = 22
$$
The results are: 1. $$ 6 + \frac{1}{2} $$ of $$ 30 \div (9 - 0) = \frac{23}{3} $$ or $$ 7\frac{2}{3} $$ 2. $$ 3^{2} + 5 \times 3 - 6 \div 3 = 22 $$

\( 6+\frac{1}{2} \) of \( 30 \div(9-0) \) \( 3^{2}+5 \times 3-6 \div 3 \)

Real Tutor Solution

Answer

Solution

Bonus Knowledge

Related Questions

Latest Arithmetic Questions