حمّل تطبيق منهاجي الجديد

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  أتدرب وأحل المسائل

أتدرب وأحل المسائل

جمع الكسور وطرحها

أجد ناتج كل ممّا يأتي في أبسط صورة:

(1) begin mathsize 20px style 1 half end style + begin mathsize 20px style 7 over 9 end style

begin mathsize 20px style fraction numerator 1 space straight x space 9 over denominator 2 space straight x space 9 end fraction end style begin mathsize 20px style fraction numerator 7 space straight x space 2 over denominator 9 space straight x space 2 end fraction end style = begin mathsize 20px style 9 over 18 end style + begin mathsize 20px style 14 over 18 end style begin mathsize 20px style fraction numerator 9 space plus space 14 over denominator 18 end fraction end style begin mathsize 20px style 23 over 18 end style = 1begin mathsize 20px style 5 over 18 end style

(2) begin mathsize 20px style 19 over 21 end style - begin mathsize 20px style 5 over 6 end style  

begin mathsize 20px style fraction numerator 19 space straight x space 2 over denominator 21 space straight x space 2 end fraction end style - begin mathsize 20px style fraction numerator 5 space straight x space 7 over denominator 6 space straight x space 7 end fraction end style = begin mathsize 20px style 38 over 42 end style - begin mathsize 20px style 35 over 42 end style begin mathsize 20px style fraction numerator 38 space minus space 35 over denominator 42 end fraction end style begin mathsize 20px style 3 over 42 end style begin mathsize 20px style 1 over 14 end style

(3) begin mathsize 20px style 7 over 12 end style - begin mathsize 20px style 4 over 9 end style  

begin mathsize 20px style fraction numerator 7 space straight x space 3 over denominator 12 space straight x space 3 end fraction end style - begin mathsize 20px style fraction numerator 4 space straight x space 4 over denominator 9 space straight x space 4 end fraction end style = begin mathsize 20px style 21 over 36 end style - begin mathsize 20px style 16 over 36 end style begin mathsize 20px style fraction numerator 21 space minus space 16 over denominator 36 end fraction end style begin mathsize 20px style 5 over 36 end style

(4) begin mathsize 20px style 3 over 4 end style + begin mathsize 20px style 3 over 10 end style

begin mathsize 20px style fraction numerator 3 space straight x space 5 over denominator 4 space straight x space 5 end fraction end style begin mathsize 20px style fraction numerator 3 space straight x space 2 over denominator 10 space straight x space 2 end fraction end style = begin mathsize 20px style 15 over 20 end style + begin mathsize 20px style 6 over 20 end style begin mathsize 20px style fraction numerator 15 space plus space 6 over denominator 20 end fraction end style begin mathsize 20px style 21 over 20 end style = 1begin mathsize 20px style 1 over 20 end style

  (5) begin mathsize 20px style 11 over 28 end style - begin mathsize 20px style 3 over 8 end style  

begin mathsize 20px style fraction numerator 11 space straight x space 2 over denominator 28 space straight x space 2 end fraction end style - begin mathsize 20px style fraction numerator 3 space straight x space 7 over denominator 8 space straight x space 7 end fraction end style = begin mathsize 20px style 22 over 56 end style - begin mathsize 20px style 21 over 56 end style begin mathsize 20px style fraction numerator 22 space minus space 21 over denominator 56 end fraction end style begin mathsize 20px style 1 over 56 end style

(6) begin mathsize 20px style 5 over 6 end style + begin mathsize 20px style 1 fourth end style

begin mathsize 20px style fraction numerator 5 space straight x space 2 over denominator 6 space straight x space 2 end fraction end style begin mathsize 20px style fraction numerator 1 space straight x space 3 over denominator 4 space straight x space 3 end fraction end style = begin mathsize 20px style 10 over 12 end style + begin mathsize 20px style 3 over 12 end style begin mathsize 20px style fraction numerator 10 space plus space 3 over denominator 12 end fraction end style begin mathsize 20px style 13 over 12 end style = 1begin mathsize 20px style 1 over 12 end style

 

(7) أنهارٌ: منبع نهر الفرات في تركيا، لكنّه يمرّ بسوريا والعراق. إذا كان begin mathsize 20px style 1 fifth end style النهر في سوريا، و begin mathsize 20px style 1 third end style النهر في العراق، فما الكسر الذي يمثل طول الجزء المار بكل من سوريا والعراق؟

      begin mathsize 20px style 1 third end style + begin mathsize 20px style 1 fifth end style

begin mathsize 20px style fraction numerator 1 space straight x space 5 over denominator 3 space straight x space 5 end fraction end style begin mathsize 20px style fraction numerator 1 space straight x space 3 over denominator 5 space straight x space 3 end fraction end style = begin mathsize 20px style 5 over 15 end style + begin mathsize 20px style 3 over 15 end style begin mathsize 20px style fraction numerator 5 space plus space 3 over denominator 15 end fraction end style begin mathsize 20px style 8 over 15 end style

 

(8) تخطيط: أنهت سلمى حلّ واجباتها المدرسيّة في begin mathsize 20px style 8 over 9 end style ساعة، وهو أقل من الوقت الذي خططت له بـ begin mathsize 20px style 1 fourth end style ساعة. ما الزمن الذي خططت سلمى أن تنهي واجباتها فيه؟

      begin mathsize 20px style 8 over 9 end style + begin mathsize 20px style 1 fourth end style

begin mathsize 20px style fraction numerator 8 space straight x space 4 over denominator 9 space straight x space 4 end fraction end style + begin mathsize 20px style fraction numerator 1 space straight x space 9 over denominator 4 space straight x space 9 end fraction end style = begin mathsize 20px style 32 over 36 end style + begin mathsize 20px style 9 over 36 end style begin mathsize 20px style fraction numerator 32 space plus space 9 over denominator 36 end fraction end style begin mathsize 20px style 41 over 36 end style = 1begin mathsize 20px style 5 over 36 end style

 

أحلّ كلاً من المعادلتين الآتيتين:

(9) x + begin mathsize 20px style 4 over 9 end style = begin mathsize 20px style 5 over 6 end style

x = begin mathsize 20px style 7 over 18 end style

(10) begin mathsize 20px style 7 over 10 end style - x = begin mathsize 20px style 1 fourth end style   

x = begin mathsize 20px style 9 over 20 end style

إعداد : شبكة منهاجي التعليمية

05 / 10 / 2024

النقاشات
هداية السعد

شكرا لتطبيق منهاجي

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هداية السعد

شكرا لتطبيق منهاجي

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Heba Alshahateet

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هداية السعد

عنجد شكرا

mahmoud alabad

شكراً

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