Topic Details (Notes format)

How to Solve Rational Equations (Equations with Fractions)

Subject: Mathematics

Book: Maths Mastery

Rational equations involve fractions with polynomials. Typically, you clear denominators by multiplying the entire equation by the least common denominator (LCD). For example, if 1/(x+2) = 3/(2x+4), multiply both sides by (x+2)(2x+4). Simplify, solve, and verify no denominator is zero. Rational equations arise in rate problems, mixture questions, or advanced algebra tasks. By systematically removing fraction complexities, you can isolate variables accurately, reinforcing strong algebraic fundamentals vital to real-world modeling and advanced problem-solving.

Practice Questions

If the average of five consecutive odd numbers is 25, what is the largest number?

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If sin(A) = 1/2 and A is acute, what is the value of A?

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If x:y = 2:3 and z:y = 4:3, what is x:z?

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What is the area of an equilateral triangle with side length 10 cm?

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What is the sum of all odd numbers from 1 to 99?

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What is the area of a sector of a circle with radius 14 cm and central angle 90°?

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If the radius of a circle is doubled, what happens to its area?

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The area of an equilateral triangle with side length 6 cm is:

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If x - y = 5 and x + y = 15, what is the value of x?

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What is the square root of 144?

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