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Mathematics

Find the following:

(i) 211\dfrac{2}{11} of ₹ 715

(ii) 49\dfrac{4}{9} of 405 kg

(iii) 37\dfrac{3}{7} of 4 hours 40 minutes

Fractions

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Answer

(i) 211\dfrac{2}{11} of ₹ 715

211×7152×715112×65130\Rightarrow \dfrac{2}{11} \times 715\\[1em] \Rightarrow \dfrac{2 \times 715}{11}\\[1em] \Rightarrow 2 \times 65\\[1em] \Rightarrow ₹130

Hence, 211\dfrac{2}{11} of ₹ 715 = ₹ 130.

(ii) 49\dfrac{4}{9} of 405 kg

49×4054×40594×45180 kg\Rightarrow \dfrac{4}{9} \times 405\\[1em] \Rightarrow \dfrac{4 \times 405}{9}\\[1em] \Rightarrow 4 \times 45\\[1em] \Rightarrow 180 \text{ kg}

Hence, 49\dfrac{4}{9} of 405 kg = 180 kg.

(iii) 37\dfrac{3}{7} of 4 hours 40 minutes

4 hours 40 minutes = (4 × 60 + 40) minutes = (240 + 40) minutes = 280 minutes.

37×280 minutes3×2807 minutes3×40 minutes120 minutes2 hours\Rightarrow \dfrac{3}{7} \times 280 \text{ minutes}\\[1em] \Rightarrow \dfrac{3 \times 280}{7} \text{ minutes}\\[1em] \Rightarrow 3 \times 40 \text{ minutes}\\[1em] \Rightarrow 120 \text{ minutes}\\[1em] \Rightarrow 2 \text{ hours}

Hence, 37\dfrac{3}{7} of 4 hours 40 minutes = 2 hours.

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