Joseph Weber
05/31/2024 · Primary School

18. निम्न में कौन से युग्म समतुल्य भिन्न हैं- \( \begin{array}{lll}\text { (a) } \frac{-13}{9}, \frac{39}{-27} & \text { (b) } \frac{3}{-7}, \frac{-18}{42} & \text { (c) } \frac{15}{14}, \frac{-225}{-210} \\ \text { (d) } \frac{-2}{3}, \frac{3}{2} & \text { (e) } \frac{3}{11}, \frac{-3}{11} & \text { (f) } \frac{7}{-19}, \frac{-28}{76}\end{array} \)

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समतुल्य भिन्न वे होते हैं जो समान मान रखते हैं, भले ही उनके अंश और हर में भिन्नता हो। हम दिए गए युग्मों की जांच करेंगे: (a) \( \frac{-13}{9} \) और \( \frac{39}{-27} \) \[ \frac{39}{-27} = \frac{39 \div 9}{-27 \div 9} = \frac{13}{-3} \quad \text{(यह समतुल्य नहीं है)} \] (b) \( \frac{3}{-7} \) और \( \frac{-18}{42} \) \[ \frac{-18}{42} = \frac{-18 \div 6}{42 \div 6} = \frac{-3}{7} \quad \text{(यह समतुल्य है)} \] (c) \( \frac{15}{14} \) और \( \frac{-225}{-210} \) \[ \frac{-225}{-210} = \frac{225 \div 15}{210 \div 15} = \frac{15}{14} \quad \text{(यह समतुल्य है)} \] (d) \( \frac{-2}{3} \) और \( \frac{3}{2} \) \[ \frac{3}{2} \quad \text{(यह समतुल्य नहीं है)} \] (e) \( \frac{3}{11} \) और \( \frac{-3}{11} \) \[ \frac{-3}{11} \quad \text{(यह समतुल्य नहीं है)} \] (f) \( \frac{7}{-19} \) और \( \frac{-28}{76} \) \[ \frac{-28}{76} = \frac{-28 \div 4}{76 \div 4} = \frac{-7}{19} \quad \text{(यह समतुल्य है)} \] **निष्कर्ष:** समतुल्य भिन्न युग्म हैं: - (b) \( \frac{3}{-7} \) और \( \frac{-18}{42} \) - (c) \( \frac{15}{14} \) और \( \frac{-225}{-210} \) - (f) \( \frac{7}{-19} \) और \( \frac{-28}{76} \)

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समतुल्य भिन्न युग्म हैं: - (b) \( \frac{3}{-7} \) और \( \frac{-18}{42} \) - (c) \( \frac{15}{14} \) और \( \frac{-225}{-210} \) - (f) \( \frac{7}{-19} \) और \( \frac{-28}{76} \)
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