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Determine: (i) (2)/(3) of 15 pens (i...

Determine:
(i) `(2)/(3)` of 15 pens
(ii) `(2)/(3)` OF 27 balls
(iii) `(2)/(3)` of 36 balloons

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The correct Answer is:
To solve the problem of determining \(\frac{2}{3}\) of various quantities, we will follow these steps for each part: ### Part (i): \(\frac{2}{3}\) of 15 pens 1. **Identify the total quantity**: We have 15 pens. 2. **Calculate \(\frac{1}{3}\) of 15**: \[ \frac{1}{3} \text{ of } 15 = \frac{15}{3} = 5 \] 3. **Calculate \(\frac{2}{3}\) of 15**: \[ \frac{2}{3} \text{ of } 15 = 2 \times \frac{1}{3} \text{ of } 15 = 2 \times 5 = 10 \] **Final Answer for Part (i)**: \(\frac{2}{3}\) of 15 pens is **10 pens**. ### Part (ii): \(\frac{2}{3}\) of 27 balls 1. **Identify the total quantity**: We have 27 balls. 2. **Calculate \(\frac{1}{3}\) of 27**: \[ \frac{1}{3} \text{ of } 27 = \frac{27}{3} = 9 \] 3. **Calculate \(\frac{2}{3}\) of 27**: \[ \frac{2}{3} \text{ of } 27 = 2 \times \frac{1}{3} \text{ of } 27 = 2 \times 9 = 18 \] **Final Answer for Part (ii)**: \(\frac{2}{3}\) of 27 balls is **18 balls**. ### Part (iii): \(\frac{2}{3}\) of 36 balloons 1. **Identify the total quantity**: We have 36 balloons. 2. **Calculate \(\frac{1}{3}\) of 36**: \[ \frac{1}{3} \text{ of } 36 = \frac{36}{3} = 12 \] 3. **Calculate \(\frac{2}{3}\) of 36**: \[ \frac{2}{3} \text{ of } 36 = 2 \times \frac{1}{3} \text{ of } 36 = 2 \times 12 = 24 \] **Final Answer for Part (iii)**: \(\frac{2}{3}\) of 36 balloons is **24 balloons**. ### Summary of Answers: - (i) 10 pens - (ii) 18 balls - (iii) 24 balloons
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