a) $$ 6\left(\frac{1}{2}+\frac{1}{3}\right) $$ c) $$ 12(13-8)-11(22-17) $$

Question

UpStudy AI · Accepted Answer

Let's solve the given expressions step-by-step.

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### a) $$ 6\left(\frac{1}{2} + \frac{1}{3}\right) $$

**Step 1:** Add the fractions inside the parentheses.

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

**Step 2:** Multiply the sum by 6.

$$
6 \times \frac{5}{6} = 5
$$

**Answer:** $$5$$

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### c) $$ 12(13 - 8) - 11(22 - 17) $$

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

$$
13 - 8 = 5 \quad \text{and} \quad 22 - 17 = 5
$$

**Step 2:** Substitute the simplified values back into the expression.

$$
12 \times 5 - 11 \times 5
$$

**Step 3:** Perform the multiplications.

$$
60 - 55
$$

**Step 4:** Subtract the results.

$$
60 - 55 = 5
$$

**Answer:** $$5$$

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Both expressions **a)** and **c)** evaluate to **5**.
Both expressions equal 5.

a) \( 6\left(\frac{1}{2}+\frac{1}{3}\right) \) c) \( 12(13-8)-11(22-17) \)