Topic Details (Notes format)

How to Multiply Fractions

Subject: Mathematics

Book: Maths Mastery

Multiplying fractions is often simpler than addition or subtraction because you do not need a common denominator. The formula is straightforward: (a/b) × (c/d) = (a×c) / (b×d). For example, (2/3) × (3/4) = (2×3)/(3×4) = 6/12, which simplifies to 1/2. You can also simplify before multiplying if there are common factors. This technique is vital in probability (calculating independent events), scaling recipes, and analyzing proportions. Mastering fraction multiplication bolsters your skillset for advanced topics like rational algebraic expressions and real-world calculations.

Practice Questions

If x² - 9x + 18 = 0, what are the roots of the equation?

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What is the greatest common divisor (GCD) of 36 and 48?

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A man invests Rs. 5000 at 5% per annum simple interest. What is the total amount after 3 years?

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A triangle has angles 60°, 60°, and 60°. What type of triangle is it?

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The sides of a triangle are 7, 24, and 25. Is this a right triangle?

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If x^3 - 3x^2 + 4 = 0, what is one root of the equation?

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

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The ratio of two numbers is 3:5, and their sum is 64. What are the numbers?

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What is the cube root of 729?

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The LCM of two numbers is 60, and their HCF is 5. If one of the numbers is 20, what is the other number?

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