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

What is the LCM of 15 and 20?

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

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How many diagonals does a pentagon have?

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What is the sum of the interior angles of a hexagon?

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What is the square root of 0.25?

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If the length of a rectangle is doubled and the width is halved, what is the change in area?

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

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

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If sin(A) = 3/5 and cos(B) = 5/13, where A and B are acute angles, what is sin(A+B)?

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