Podcast
Questions and Answers
با توجه به توضیحات بالا، چگونه دو عبارت کسری با مخرج‌های مشترک جمع می‌شوند؟
با توجه به توضیحات بالا، چگونه دو عبارت کسری با مخرج‌های مشترک جمع می‌شوند؟
چگونه دو عبارت کسری با مخرج‌های نامشابه جمع می‌شوند؟
چگونه دو عبارت کسری با مخرج‌های نامشابه جمع می‌شوند؟
چگونه \(rac{2x}{y} + rac{3y}{x}\) را با هم جمع کنیم؟
چگونه \(rac{2x}{y} + rac{3y}{x}\) را با هم جمع کنیم؟
چگونه \(rac{a}{b} + rac{c^2}{b}\) را ساده‌تر نمایش دهیم؟
چگونه \(rac{a}{b} + rac{c^2}{b}\) را ساده‌تر نمایش دهیم؟
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چگونه \(rac{x^2}{y} + rac{1}{y}\) را به صورت ساده نمایش دهیم؟
چگونه \(rac{x^2}{y} + rac{1}{y}\) را به صورت ساده نمایش دهیم؟
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Study Notes
Rational Expressions and Adding Them
Rational expressions involve fractions with variables in both the numerator and denominator. They can be added together if they have similar denominators. To do this, you combine like terms under the common factor and simplify the resultant fraction. For instance, consider ( \frac{x}{y} + \frac{z^2}{y} ) where y is any nonzero expression. By combining the two fractions we get [ \frac{x+z^2}{y} = \boxed{\frac{(x+z^2)}{y}} ] This means that when adding these types of fractions, you just replace them by the sum of their numerators divided by the common denominator. It's important to note though that if one term has an algebraic expression as its denominator while another has a constant as its denominator, there will be no common denominator and therefore they cannot be combined in this manner. Instead, you must convert them into equivalent fractions before adding them up. Overall, when dealing with rational expressions, it helps to rewrite each fraction so it shares a common factor between all the terms within it, allowing for easier combination.
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Description
Learn how to add rational expressions involving fractions with variables in the numerator and denominator. Combine like terms under the common factor, simplify the resultant fraction, and ensure they have similar denominators for addition. Gain insights on converting fractions with different denominators into equivalent fractions before combining them.
