Rasyonel İfadelerin Hesaplanması

MathematicsRasyonel SayılarEasy

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3. $2 - \dfrac{1 - \dfrac{1}{3}}{2 - \dfrac{3}{4} : 0,5}$ ifadəsinin qiymətini hesablayın. A) $\dfrac{2}{3}$ B) $\dfrac{1}{3}$ C) $-\dfrac{1}{3}$ D) $-\dfrac{1}{2}$

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1
Step 1

Hi Aylin, let's solve this expression together by simplifying the numerator and denominator step by step.

Step 1: Simplifying the fraction

$$2 - \frac{1 - \frac{1}{3}}{2 - \frac{3}{4} : 0.5}$$
2
Step 2

First, let's focus on the top part, one minus one-third.

$$1 - \frac{1}{3} = \frac{2}{3}$$
3
Step 3

Now let's work on the bottom part. We have two minus three-fourths divided by zero point five. We must do the division first.

$$0.5 = \frac{1}{2}$$
$$\frac{3}{4} : \frac{1}{2} = \frac{3}{4} \times \frac{2}{1} = \frac{3}{2}$$
4
Step 4

So the denominator becomes two minus three-halves, which is four-halves minus three-halves, equaling one-half.

$$2 - \frac{3}{2} = \frac{1}{2}$$

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About This Question

Subject
Mathematics
Topic
Rasyonel Sayılar
Difficulty
Easy
Question Type
Multiple Choice

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