Rasyonel Sayılarda İşlem Sorusu

MathematicsRasyonel SayılarMediumYKS

Published:

$$\frac{\left(1-\frac{2}{5}\right)\cdot\left(1-\frac{2}{6}\right)\cdot\left(1-\frac{2}{7}\right)\cdot\left(1-\frac{2}{8}\right)\cdot\left(1-\frac{2}{9}\right)}{\left(1-\frac{2}{3}\right)\cdot\frac{1}{2}}$$

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1
Step 1

Merhaba GİZEM, seninle bu rasyonel sayı işlemini adım adım çözelim.

Rasyonel Sayılarla İşlem

2
Step 2

Önce pay kısmındaki parantezli ifadeleri düzenleyelim.

$$$(1 - 2/5) \cdot (1 - 2/6) \cdot (1 - 2/7) \cdot (1 - 2/8) \cdot (1 - 2/9)$$$
3
Step 3

Bu ifadeleri çıkarma işlemlerini yaparak yazalım. Örneğin 1 eksi 2 bölü 5, 3 bölü 5 yapar.

4
Step 4

Şimdi bu çarpma işlemindeki sadeleşmeleri görelim. 5, 6 ve 7 değerleri hem pay hem de paydada bulunduğu için birbirini götürür.

$$$\frac{3 \cdot 4 \cdot \cancel{5} \cdot \cancel{6} \cdot \cancel{7}}{\cancel{5} \cdot \cancel{6} \cdot \cancel{7} \cdot 8 \cdot 9}$$$

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About This Question

Subject
Mathematics
Topic
Rasyonel Sayılar
Difficulty
Medium
Exam
YKS

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