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

The simple interest on Rs. 4000 at 5% per annum for 2 years is:

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The LCM of 12 and 15 is:

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

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

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

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The base of a triangle is 10 cm and its height is 6 cm. What is its area?

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The probability of rolling a sum of 7 with two dice is:

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What is the square root of 144?

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The sum of the squares of two consecutive integers is 145. What are the integers?

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

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